Alg2 Unit 2B REVIEW: Exponential and Logarithmic Functions

Write the following scenario using this equation: $$A=Pe^{rt}$$ .

Tony invested $2000 into an account with a 4.5% annual interest rate, compounding continuously.

Write the following in exponential form:

$$\log_3\left(x\right)=7$$

Write the following in exponential form:

$$\ln\left(3\right)=x$$

For the graph to the right, The solid line is $$y=\log_4\left(x\right)$$ . What would be the equation of the transformed dashed graph?

Write the following in exponential form:

log (x)=3 =

Write the following as a logarithm: $$4^x=16384$$

For the graph to the left, identify the domain and range.

Find the inverse: $$y=\ln\left(4x\right)-7$$

Given the function $$f\left(x\right)=\log_3\left(x+1\right)-6$$ :

The function is a ​ (a)   function, the asymptote is ​ (b)   , it shifts ​ (c)   ​ (d)   , it shifts ​ (e)   6 spaces

Reorder the following instructions of finding the inverse of an exponential function: