Exponential Logarithm

• A)     g(x) = $\left(2\cdot\ 5\right)^{-x}$  

• B)     g(x) =  $-\left(2\cdot5\right)^x$  

• C)     g(x) = $2\ \cdot\ \left(5\right)\ ^{-x}$   

• D)    g(x)=  $-2\ \cdot\ \left(5\right)\ ^x$  

• A) About 2,800

• B). About 1,200

• C) About 3,000

• D) About 1,000

• A) f(x) = $36\left(0.7\right)^x$

• B) f(x) = $36\left(0.8\right)^x$

• C) f(x) = $48\left(0.7\right)^x$

• D) f(x) = $48\left(0.8\right)^x$

• A) (0,0)

• B) (0,5)

• C) (3, 30)

• D) (3, 60)

 What function is the inverse of the exponential function  $y=4^x$   ?

• A)   $y\ =\ x^{\frac{1}{4}}$  

• B)  $y\ =\ \left(\frac{1}{4}\right)^x$  

• C)    $y\ =\ \log_x4$  

• D)    $y\ =\ \log_4x$  

Which of the logarithmic expressions have even evaluated correctly? Select all that apply.

• $\ln\ 0\ =\ 1$
  

• $\log_2\ 8\ =\ 3$

• $\log\ \left(0.1\right)\ =\ -1$

• $\log_2\ \left(-1\right)\ =\ 0.5$

• $\log_x\ \left(0.125\right)\ =\ -3$

 What is the solution to the equation  $\log_{4\ }\left(5x\ +9\right)\ =3$  ?

The logarithmic function f(x) = ln x is transformed to g(x) =ln (x-2) +5. Which of the following is true?

• A) f(x) is translated up 5 units

• B) f(x) is translated down 2 units

• C) f(x) is translated left 2 units

• D) f(x) is translated right 5 units