
Logarithm question
Hello, Need some direction in solving this prob: Solve the following equation for : x 7^x+10=15^10x Write your answer as an expression involving base10 logarithms Trying to work the rust off of my math skills....Logarithms were never my strong suit. Thanks for any help you might give, ~CC

$\displaystyle \begin{array}{rcl}{\color{blue}\log (}7^{x+10}{\color{blue})} & = & {\color{blue}\log (}15^{10x}{\color{blue})} \\ (x+10) \cdot \log 7 & = & 10x \cdot \log 15 \quad (\text{Property of logs: } \log a^b = b\log a) \\ (\log 7)x + 10\log 7 & = & (10\log15)x \\ & \vdots & \end{array} $
Should be simple algebra from here.