Logarithmic and Exponential Functions Test Review

Solve

 $34=5\ln\left(x-2\right)$  

• 6.

• 898

• 900

• 902

Solve

 $2\ \ln\left(x-1\right)+\ln\left(4\right)=\ln\left(10-3x\right)$  

• 2

•  $-\frac{3}{4}\ ,\ 2$  

•  $-\frac{3}{4}$  

•  $\ln\left(\frac{3}{4}\right),\ \ln\left(2\right)$  

Solve

 $e^{2x}=37$  

• 1.805

• 1.822

• 1.931

• 1.955

Solve

 $\log_4\left(x\right)-\log_4\left(5\right)=\log_4\left(60\right)$  

• 3

• 12

• 120

• 300

Choose the graph of

 $f\left(x\right)=2^x$  

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• 
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Choose the graph of

 $f\left(x\right)=3^{\left(x+1\right)}$  

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Find the balance in an account at the end of 14 years if $5000 is invested at an interest rate of 4.5% compounded continuously.

 $A=Pe^{rt}$  

• $9388.05

• $9259.72

• $8753.36

• $7841.56

Evaluate

 $\log_4134$  

• 3.533

• 3.623

• 3.711

• 3.782

Choose the graph of

 $f\left(x\right)=\log_2\left(x-1\right)$  

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• 
• 

In 2008, the wolf population in a certain area was 1200. The number of wolves increases exponentially at a rate of 3% per year. Predict the population in 2012.

 $N=N_0\left(1+r\right)^t$  

• 1030

• 1062

• 1350

• 1391