Applying and analysing exponential and logarithmic functions

Convert y=log₂(x)+2 into exponential form

• 2^x-2=y

• 2^x+2=y

• 2^y+2=y

• 2^y-2=x

 $\ln\left(x\right)$  means

• Natural logarithm of x

• Log base 10 of x

• ell enn of ex

• yes

 $2^x=444$  

Convert to logarithmic form. Then solve for x. Round any decimal answer to the nearest hundredth place.

• x = 8.79

• x = 8.24

• x = 8.93

• x = 8.77

Change to Exponential Form.

log₇y = x

• 7^y = x

• y = 7^x

• 7^x = y

• x⁷ = y

Convert Log₂64 = y to an exponent

• 64^y = 2

• 2⁶⁴ = y

• 64² = y

• 2^y = 64

Rewrite  $\left(\frac{1}{3}\right)^{-2}$  = 9 in logarithmic form.

•  $\log_{-2}9=\frac{1}{3}$  

  
  

•  $\log_{\frac{1}{3}}-2=9$  
  

•  $\log_93=-2$  
  

•  $\log_{\frac{1}{3}}9\ =-2$ 

Solve

• A
• B
• C
• D

covert the logarithmic equation into an exponential equation
 $\log_5\ 125\ =\ 3$  

•  $5^{3\ }=125$  

•  $125^{3\ }=5$  

•  $3^5\ =125$  

Given log₁₂1= x. Find x

• 1

• 0

• 12

• -1

Solve for the natural logarithm equation.  $\ln3x=5$  

•  $x=\frac{e^5}{3}$  

•  $x=-\frac{e^5}{3}$  

•  $x=\frac{e^3}{5}$  

•  $x=-\frac{e^3}{5}$