Exponentials & Logarithms

If
 $27^x=1$  , then x = ?

(Only type in a number for your answer)

Solve for m:
 $\log_2\left(4x+4\right)=5$  

(Only type in a number for your answer)

Solve for x: log_x 144 = 2

State the transformations of the following function:


 $y=\left(\frac{1}{2}\right)\cdot2^{\left(x+1\right)}-4$  

• a = 1/2 (compression)
  h = 1 (right)
  k = -4 (down)

• a = 1 (none)
  h = -1 (left)
  k = -4 (down)

• a = 1/2 (compression)
  h = -1 (down)
  k = -4 (left)

• a = 1/2 (compression)
  h = -1 (left)
  k = -4 (down)

• A

• B

• C

• D

Solve the equation:

 $\ln\left(2x-4\right)=\ln\left(x+6\right)$  

•  $x=\frac{10}{3}$  

•  $x=10$  

•  $x=-\frac{5}{3}$  

•  $x=11$  

Solve each equation: 13^x+10 - 5 = 7.

• 19.147

• .969

• .097

• -9.031

 $9\ln a-3\ln b$  

Condense:

•  $\ln\left(bac^3\right)$  

•  $\ln\ \frac{a^9}{b^3}$  

•  $\ln\ \frac{a^3}{b^3}$  

•  $\ln\ \frac{a^3}{b^9}$  

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

• A

• B

• C

• D