Unit 2B Test Review

Solve the logarithmic equation.

 $\log_7343=2x+1$  

x = __________

Solve for x in the logarithmic equation.

 $\log_3(4x-3)=2$  

Solve for x in the exponential equation.

 $3^x-5=12$  

Round your answer to the nearest hundreth.

Rewrite the logarithm in exponential form:
 $\log_x25=3$  

•  $x^3=25$  

•  $3^x=25$  

•  $25^3=x$  

•  $25^x=3$  

Solve by converting to the exponential form:

log₂(x + 5) = 3

• 3

• 4

• 5

• 6

A new social media site is increasing its user base by approximately 5% per month. If the site currently has 39,560 users, what will the approximate user base be 6 months from now? Round answer to the nearest integer.

For tax purposes, a car rental company assumes each car in their fleet depreciates by 5% per year. If the initial value of a car is $23,400.00, in how many years will the value depreciate to $14,747.84? Round answer to the nearest integer.

The foundation of your house has about 1,200 termites. The termites grow at a continuous rate of about 2.4% per day. How long until the number of termites doubles?

• 29 to 30 years
• 23 to 24years
• 15 to 16 years
• 19 to 20 years

Are f(x) and g(x) inverses based on the tables of values?

• yes, the inputs and outputs are switched

• no, the inputs and outputs should have opposite signs

• yes, the values are all positive

• no, the values are increasing

The intensity of an earthquake is described by a number on the Richter scale, R, given by the formula, where a is amplitude, T is time. Find the intensity of an earthquake to the nearest tenth if a recording station measured the amplitude as 200 microns and the period as 1.7 seconds, and B = 3.