7.1-7.3

Rewrite the equation in logarithmic form.  $4^0=1$  

•  $\log_41=0$  

•  $\log_01=4$  

•  $\log_40=1$  

•  $\log_04=1$  

Rewrite the equation in logarithmic form.  $20^{-2}=0.0025$  

•  $\log_{-2}20=0.0025$  

•  $\log_{20}0.0025=-2$  

•  $\log_{-2}0.0025=20$  

•  $\log_{20}\left(-2\right)=0.0025$  

Rewrite the equation in logarithmic form.  $49^{\frac{3}{2}}=343$  

•  $\log_{49}343=\frac{3}{2}$  

•  $\log_{\frac{3}{2}}49=343$  

•  $\log_{49}\left(\frac{3}{2}\right)=343$  

•  $\log_{\frac{3}{2}}343=49$  

Rewrite the equation in logarithmic form. $5^{-2}=\frac{1}{25}$  

•  $\log_{-2}5=\frac{1}{25}$  

•  $\log_{-2}\left(\frac{1}{25}\right)=5$  

•  $\log_5\left(-2\right)=\frac{1}{25}$  

•  $\log_5\left(\frac{1}{25}\right)=-2$  

Evaluate the logarithm. (Hint: Find the exponent!)  $\log_{10}0.01$  

• 0.01
  

• 2

• -2

•  $\frac{1}{100}$  

Evaluate the logarithm. (Hint: Find the exponent!) $\log_{\frac{1}{3}}27$  

• 9

• 3

•  $\frac{1}{3}$  

• -3

Evaluate the logarithm. (Hint: Find the exponent!)  $\log_{25}5$  

• 2

•  $\frac{1}{2}$  

•  $\frac{1}{5}$  

• 5

Tell whether the function represents exponential growth or exponential decay.  $y=5^x$  

• Exponential Growth

• Exponential Decay

Tell whether the function represents exponential growth or exponential decay.  $y=\left(\frac{3}{7}\right)^x$  

• Exponential Growth

• Exponential Decay

Tell whether the function represents exponential growth or exponential decay.  $y=\left(1.5\right)^x$  

• Exponential Growth

• Exponential Decay