Review questions for Test #2

Write the equation in logarithmic form. $8^3=512$   

•  $\log_38=512$  

•  $\log_8512=3$  

•  $\log_3512=8$  

•  $\log_{512}8=3$  

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

Solve the following exponential equation:
 $2^{3n}=4$  

•  $n=2$  

•  $n=3$  

•  $n=\frac{2}{3}$  

•  $n=4$  

Solve:
3^x-1 = 81

• 5
• 6
• 9
• 10

Expand.

• log x + 5 log y
• 5 log x + 5 log y
• 5 log x - log y
• log x - 5 log y

Condense to a single logarithm.

• ln x⁴/ y
• ln xy⁴
• ln x/ y⁴
• ln x⁴/ y⁴

log(4x)

• log4-logx

• log4+logx

• 4logx

• xlog4

Condense

• logxyz³
• log(xy/z³)
• logx+logy+logz³
• logx³y³z³

Expand:  $\log x^3y^7$  

•  $3\log x+7\log y$  

•  $10\log xy$  

•  $3\log x-7\log y$  

•  $\log x^3+\log y^7$  

Solve 4e^x = 1 to the nearest hundredths.

• -0.239

• -0.24

• -0.2398

• -0.2399