Exponential and Logarithmic Functions Test

• $x^{\frac{8}{3}}y^2$

• $x^{\frac{3}{8}}y^{\frac{1}{2}}$

• $xy^2$

• $x^{\frac{8}{3}}y^{ }$

Simplify as much as possible.

•  $216x^3$  

•  $6x$  

•  $216x$  

•  $6^3x$  

What is the equation of the graph?

• $y=2^x$

• $y=2^{\left(x-3\right)}$

• $y=2^x-3$

• $y=3\cdot2^x$

Which transformations to the graph of

 $y=3^x$  would result in this graph? Select all that apply.

• Reflection over y-axis

• Reflection over x-axis

• Shift down 4

• Shift right 1

• Shift down 2

Write in exponential form

• $5^y=\frac{1}{625}$

• $5^{625}=y$

• $5^{\left(\frac{1}{625}\right)}=y$

• $\left(\frac{1}{625}\right)^y=5$

Write in exponential form

• $x^6=10$

• $10^6=x$

• $e^6=x$

• $e^x=6$

Write in logarithmic form

• $\log112=x+1$

• $\log_{112}10=x+1$

• $\log_{112}\left(x+1\right)=10$

• $\log\left(x+1\right)=112$

Write as a logarithm

• $\log15=x$

• $\ln15=x$

• $\ln x=15$

• $\log_ex=15$

Evaluate

 $\log_713$  
Round your answer to three decimal places.

Expand

• $6\log a-6\log b-6\log c$

• $2\log a-3\log b-\log c$

• $6\log a+6\log b+6\log c$

• $2\log a+3\log b+\log c$