Algebra 2 Chapter 7 Test: Exponential and Log Equations

**Solve for x: log₆x + log₆9 = 54

• -6

• 6

• 45

• 63

*Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions

• Quadratic Functions

• Polynomial Functions

*Condense: log₂ 64 - log₂ 4

• log₂ 16

• log₂ 4

• log₂ 8

• log₂ 60

**Solve: log₂ d = 5 log₂ 2 - log₂ 8

• 4

• 1/4

• -6

• -30

**Solve: log₈ 48 - log₈ w = log₈ 4

• 44

• 12

• 192

• -12

*Which of the following is equivalent to  $\ln\ 50=x$  ?

•  $e^x=50$  

•  $10^x=50$  

•  $x^e=50$  

•  $x^{50}=e$  

**Solve:  $\ln\ 4x=3$  

•  $x=5.0214$  

•  $x=0$  

•  $x=0.75$  

•  $x=1.333$  

*Expand the logarithm: $\log_5\left(\frac{x^2}{y}\right)$  

•  $2\log_5x-\log_5y$  

•  $\log_5x^2\log_5y$  

•  $\log_5x^2+y$  

•  $\log_5x^2-y$  

***Solve:  $4e^x-1=2$  

•  $x=-0.29$  

•  $x=1.10$  

•  $x=0.75$  

•  $x=-1.39$  

***Solve:  $11^{3x}=98$ 

•  $x=0.6374$  

•  $x=1.7405$  

•  $x=6.5612$  

•  $x=5.7362$