Question 1

Use the facts that log 5 = 0.6990 and log 7 = 0.8451 to find the value of the logarithm. log 35
A)1.5441
B)1.9762
C)1.2299
D)1.4207

Accepted Answer

The answer of Use the facts that log 5 =...

Question 2

Express the equation in logarithmic form. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Express the equation in logarithmic form. 
A)...

Question 3

Find the present value of $70,000 due in 4 year(s) at the given rate of interest.Round your answers to the nearest dollar.
6% / year compounded monthly
$__________
9% / year compounded daily
$__________

Accepted Answer

The answer of Find the present value of $70,000 due...

Question 4

Having received a large inheritance, a child's parents wish to establish a trust for the child's college education.If 7 year(s) from now they need an estimated $90,000, how much should they set aside in trust now, if they invest the money at the given rate of interest.Round your answer to the nearest cent.
15.5 compounded quarterly
$__________
15.5 compounded continuously
$__________

Accepted Answer

The answer of Having received a large inheritance, a child's...

Question 5

Use the laws of logarithms to simplify the expression. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

Using the rule of logarithms, we can rewrite the expression as: 10^log(11)+log(e^b)+log(12b)-log(10^a+1). Then, we can apply the power and product rules to simplify further: 11e^b*12b/(10^a+1). Finally, we can rewrite this expression as: 11eb12b0_a9cf_9670_b394_3f50ca5a5850_TB7866_11.

Question 6

Use the laws of logarithms to simplify the expression. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Use the laws of logarithms to simplify...

Question 7

Use the laws of logarithms to simplify the expression. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Use the laws of logarithms to simplify...

Question 8

Write the expression as the logarithm of a single quantity. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Write the expression as the logarithm of...

Question 9

Use the laws of logarithms to simplify the expression. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

Using the laws of logarithms, we can simplify the expression as follows:

$log_{16}(2x) + log_{16}(4y) - log_{16}(8) = log_{16}[(2x)(4y)/8]$

Simplifying the numerator, we get:

$[(2x)(4y)/8] = xy$

Therefore, our simplified expression is:

$log_{16}(xy) = log_{16}(x) + log_{16}(y)$

Now, looking at the answer choices, we can see that choice C is the only one that matches this expression:

11eb12b0_a9cf_2135_b394_35c27ee9a141_TB7866_11

Question 10

Use the facts that log 3 = 0.4771 to find the value of the logarithm. 
A)- 2.4771
B)- 2.9092
C)2.1629
D)- 2.3537

Accepted Answer

The answer of Use the facts that log 3 =...

Question 11

Eleni, who is now 50 years old, is employed by a firm that guarantees her a pension of $20,000/year at age 60.What is the present value of her first year's pension if inflation over the next 10 year(s) is at the given rate.Assume that inflation is continuously compounded.Round your answers to the nearest cent.
5%
$__________
9%
$__________
11%
$__________

Accepted Answer

The answer of Eleni, who is now 50 years old,...

Question 12

Find the effective rate corresponding to the given nominal rate.Round your answers to the nearest hundredth.
14% / year compounded semiannually  __________%
5% / year compounded quarterly  __________%

Accepted Answer

The answer of Find the effective rate corresponding to the...

Question 13

Express the equation in logarithmic form. 
A) 
B) 
C) 
D)

Accepted Answer

The logarithmic form of an equation with base b is
logb(x) = y if and only if by = x.
In this case, the equation is not given, so it is impossible to determine the base or the values of x and y. Therefore, the only logical choice is D, as it does not attempt to represent the equation in logarithmic form.

Question 14

Sketch the graph of the equation. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Sketch the graph of the equation. 
A)...

Question 15

Express the equation in logarithmic form. 
A) 
B) 
C) 
D)

Accepted Answer

The question does not provide an equation to be converted into logarithmic form. Therefore, none of the answer choices are correct.

Question 16

Find the nominal interest rate that, when compounded continuously, yields an effective interest rate of 10% / year.Round your answer to the nearest thousandth.
__________%

Accepted Answer

The answer of Find the nominal interest rate that, when...

Question 17

Sketch the graph of the equation. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Sketch the graph of the equation. 
A)...

Question 18

Find the effective rate corresponding to the given nominal rate.Round your answers to the nearest thousandth.
8% / year compounded monthly  __________ %
8% / year compounded daily  __________ %

Accepted Answer

The answer of Find the effective rate corresponding to the...

Question 19

Express the equation in logarithmic form. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Express the equation in logarithmic form. 
A)...

Question 20

Use the laws of logarithms to simplify the expression. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Use the laws of logarithms to simplify...

Quiz 5: Exponential and Logarithmic Functions

Use the facts that log 5 = 0.6990 and log 7 = 0.8451 to find the value of the logarithm. log 35

Express the equation in logarithmic form.

Find the present value of $70,000 due in 4 year(s) at the given rate of interest.Round your answers to the nearest dollar. 6% / year compounded monthly $ 9% / year compounded daily $

Use the laws of logarithms to simplify the expression.

Use the laws of logarithms to simplify the expression.

Use the laws of logarithms to simplify the expression.

Write the expression as the logarithm of a single quantity.

Use the laws of logarithms to simplify the expression.

Use the facts that log 3 = 0.4771 to find the value of the logarithm.

Find the effective rate corresponding to the given nominal rate.Round your answers to the nearest hundredth. 14% / year compounded semiannually % 5% / year compounded quarterly %

Express the equation in logarithmic form.

Sketch the graph of the equation.

Express the equation in logarithmic form.

Find the nominal interest rate that, when compounded continuously, yields an effective interest rate of 10% / year.Round your answer to the nearest thousandth. __________%

Sketch the graph of the equation.

Find the effective rate corresponding to the given nominal rate.Round your answers to the nearest thousandth. 8% / year compounded monthly % 8% / year compounded daily %

Express the equation in logarithmic form.

Use the laws of logarithms to simplify the expression.

Quiz 5: Exponential and Logarithmic Functions

Use the facts that log 5 = 0.6990 and log 7 = 0.8451 to find the value of the logarithm. log 35

Express the equation in logarithmic form.

Find the present value of $70,000 due in 4 year(s) at the given rate of interest.Round your answers to the nearest dollar. 6% / year compounded monthly $__________ 9% / year compounded daily $__________

Use the laws of logarithms to simplify the expression.

Use the laws of logarithms to simplify the expression.

Use the laws of logarithms to simplify the expression.

Write the expression as the logarithm of a single quantity.

Use the laws of logarithms to simplify the expression.

Use the facts that log 3 = 0.4771 to find the value of the logarithm.

Find the effective rate corresponding to the given nominal rate.Round your answers to the nearest hundredth. 14% / year compounded semiannually __________% 5% / year compounded quarterly __________%

Express the equation in logarithmic form.

Sketch the graph of the equation.

Express the equation in logarithmic form.

Find the nominal interest rate that, when compounded continuously, yields an effective interest rate of 10% / year.Round your answer to the nearest thousandth. __________%

Sketch the graph of the equation.

Find the effective rate corresponding to the given nominal rate.Round your answers to the nearest thousandth. 8% / year compounded monthly __________ % 8% / year compounded daily __________ %

Express the equation in logarithmic form.

Use the laws of logarithms to simplify the expression.

Find the present value of $70,000 due in 4 year(s) at the given rate of interest.Round your answers to the nearest dollar. 6% / year compounded monthly $ 9% / year compounded daily $

Find the effective rate corresponding to the given nominal rate.Round your answers to the nearest hundredth. 14% / year compounded semiannually % 5% / year compounded quarterly %

Find the effective rate corresponding to the given nominal rate.Round your answers to the nearest thousandth. 8% / year compounded monthly % 8% / year compounded daily %