Deck 12: Section 2: Exponential and Logarithmic Functions

Question 1

Solve .

Answer 1

Question 2

Let . Find g(-2).

Answer 2

5

Question 3

Write ln(s⁵) + ln(s⁶) + ln(s) as a single logarithm. Assume s represents numbers for which the logarithms are defined.

Answer 3

ln(s¹²)

Question 4

Graph .

Question 5

Let . Solve for x.

Question 6

If $10,000 is deposited in an account paying 7% compounded quarterly, then what amount will be in the account after 8 years?

Question 7

Evaluate .

Question 8

Graph .

Question 9

Let . Find h(2.3).

Question 10

Simplify ln(e⁹).

Question 11

Rewrite as a sum or difference of logarithms.

Question 12

Write log₆216 = 3 as an exponential equation.

Question 13

Solve .

Question 14

Rewrite log(75) in terms of log(3) and log(5).

Question 15

Write log₇(36) - log₇(6) as a single logarithm.

Question 16

Write log(64) in terms of log(4).

Question 17

Write 3⁶ = 729 as a logarithmic equation.

Question 18

The level of sound in decibels (db) is given by the formula , where I is the sound intensity in watts per square meter. If the sound intensity of a jet airplane is 0.001 watts per square meter at a distance of 180 meters, what is the level of the sound at this point in db, rounded to the nearest tenth?

Question 19

Solve log(x) = -4.

Question 20

Solve -7^-5-x = -49.

Question 21

Solve log₂(x² - 2) = 2 + log₂(x² + 8).

Question 22

Evaluate log_1/5(6). Round to four decimal places.

Question 23

Solve e^{x + 2} = 5.

Question 24

The number of grams of a radioactive substance in charcoal from an ancient campfire after t years is given by .
If the sample has only 14 grams of radioactive substance, then when was the campfire used?

Question 25

Solve log₁₂(x - 35) + log₁₂(x + 35) = 2.