Question 1

Solve the logarithmic equation. $\ln ( 4 x + 1 ) - \ln ( x + 3 ) = \ln 3$

Accepted Answer

The answer of Solve the logarithmic equation. \(\ln ( 4...

Question 2

Approximate the logarithm log₃0.9 to three decimal places.

Accepted Answer

The answer of Approximate the logarithm log₃0.9 to three decimal...

Question 3

For a certain strain of bacteria, the number of bacteria present after t hours is given by the equation Q = Q _oe^{0.44 t} where Q _o represents the initial number of bacteria. How long will it take 400 bacteria to increase to 4,000 bacteria? Express answer to the nearest tenth without the units. __________ hours

Accepted Answer

The answer of For a certain strain of bacteria, the...

Question 4

Solve the logarithmic equation. $\log ( 3 x - 1 ) = 1 + \log ( 5 x - 2 )$

Accepted Answer

The answer of Solve the logarithmic equation. \(\log ( 3...

Question 5

For a certain culture the equation $Q ( t ) = Q _ { 0 } e ^ { 0.4 t }$ , where Q 0 is an initial number of bacteria and t is time measured in hours, yields the number of bacteria as a function of time. How long will it take 700 bacteria to increase to 2,800? Please enter the answer as a number without the units and round to the nearest tenth. __________ hours

Accepted Answer

The answer of For a certain culture the equation \(Q...

Question 6

Approximate the following logarithm to three decimal places. $\log _ { 5 } 0.83$

Accepted Answer

The answer of Approximate the following logarithm to three decimal...

Question 7

The equation $P ( a ) = 14.7 e ^ { - 0.21 a }$ , where a is the altitude above sea level measured in miles, yields the atmospheric pressure in pounds per square inch. If the atmospheric pressure at Cheyenne, Wyoming, is approximately 11.84 pounds per square inch, find that city s altitude above sea level. Express your answer to the nearest hundred feet. Please enter your answer as a number without the units. __________ feet

Accepted Answer

The answer of The equation \(P ( a ) =...

Question 8

Solve the logarithmic equation and express irrational solutions in lowest radical form. log ( x + 7 ) = log ( 4 ) $-$ log ( 2 x $-$ 14 )

Accepted Answer

The answer of Solve the logarithmic equation and express irrational...

Quiz 14: Exponential and Logarithmic Functions

Solve the logarithmic equation. ln⁡(4x+1)−ln⁡(x+3)=ln⁡3\ln ( 4 x + 1 ) - \ln ( x + 3 ) = \ln 3ln(4x+1)−ln(x+3)=ln3

Approximate the logarithm log30.9 to three decimal places.

Solve the logarithmic equation. log⁡(3x−1)=1+log⁡(5x−2)\log ( 3 x - 1 ) = 1 + \log ( 5 x - 2 )log(3x−1)=1+log(5x−2)

Approximate the following logarithm to three decimal places. log⁡50.83\log _ { 5 } 0.83log5​0.83

Solve the logarithmic equation and express irrational solutions in lowest radical form. log ( x + 7 ) = log ( 4 ) −-− log ( 2 x −-− 14 )

Solve the logarithmic equation. $\ln ( 4 x + 1 ) - \ln ( x + 3 ) = \ln 3$

Approximate the logarithm log₃0.9 to three decimal places.

Solve the logarithmic equation. $\log ( 3 x - 1 ) = 1 + \log ( 5 x - 2 )$

Approximate the following logarithm to three decimal places. $\log _ { 5 } 0.83$

Solve the logarithmic equation and express irrational solutions in lowest radical form. log ( x + 7 ) = log ( 4 ) $-$ log ( 2 x $-$ 14 )