Solve Exponential Equation with Answer as a Single Logarithm

 $3^{\left(2x-1\right)}=17$  

•  $\log_{51}\left(9\right)$  

•  $\log_6\left(20\right)$  

•  $\log_9\left(20\right)$  

•  $\log_9\left(51\right)$  

 $5^{\left(x+2\right)}=8^x$  

•  $\log_{\frac{5}{8}}\left(\frac{1}{25}\right)\ \ or\ \ \log_{\frac{8}{5}}\left(25\right)$  

•  $\log_{\frac{1}{25}}\left(\frac{5}{8}\right)\ \ \ or\ \ \ \log_{25}\left(\frac{8}{5}\right)$  

•  $\log_{\frac{8}{5}}\left(\frac{1}{25}\right)\ \ \ or\ \ \ \log_{\frac{5}{8}}\left(25\right)$  

•  $\log_{25}\left(\frac{8}{5}\right)\ \ \ or\ \ \ \log_{\frac{1}{25}}\left(\frac{5}{8}\right)$  

 $4^{\left(x+3\right)}=7^{\left(x-1\right)}$  

•  $\log_{\frac{4}{7}}\left(448\right)\ \ \ or\ \ \ \log_{\frac{7}{4}}\left(\frac{1}{448}\right)$  

•  $\log_{\frac{4}{7}}\left(\frac{1}{448}\right)\ \ \ or\ \ \ \log_{\frac{7}{4}}\left(448\right)$  

•  $\log_{\frac{1}{448}}\left(\frac{4}{7}\right)\ \ \ or\ \ \ \log_{448}\left(\frac{7}{4}\right)$  

•  $\log_{448}\left(\frac{4}{7}\right)\ \ \ or\ \ \ \log_{\frac{1}{448}}\left(\frac{7}{4}\right)$  

• x = ln(2)

  x = ln(6)

• x = ln(6)

• x = ln(2)

• no solution