Inverse Practice exponents logs

A logarithmic function is the inverse of an exponential function.

• True

• False

Find the inverse function of  $f\left(x\right)=5^x$  

•  $f'\left(x\right)\ =\ \log_5x$  

•  $f'\left(x\right)=\log_{5x}$  

•  $f'\left(x\right)=5\log x$  

•  $f'\left(x\right)=\log5x$  

Find the inverse of  $f\left(x\right)=4^x$  

•  $f'\left(x\right)=\log4_{ }^x$  

•  $f'\left(x\right)=4\log\ x$  

•  $f'\left(x\right)=\log_x4$  

•  $f'\left(x\right)=\log_4x$  

Determine whether each function represents exponential growth or exponential decay.

• The function represents exponential growth.

• The function represents exponential decay.

Determine whether each function represents exponential growth or exponential decay.

• The function represents exponential growth.

• The function represents exponential decay.

Which equation is the inverse of the equation above?

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• 
• 
• 

Rewrite 3⁴ = 81 in logarithmic form.

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

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Is the pictured graph growth, decay, linear or none?  

• Exponential Growth
• Exponential Decay
• Linear
• None

Rewrite as a log: x = 11^y

• log₁₁(y) = x

• log_y(11) = x

• log₁₁(x) = y

• log_x(y) = 11