SOLUTION: Find x in terms of q: {{{2^(3x-1)=7^(x-q)}}} Thanks!

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Question 443639: Find x in terms of q: 2%5E%283x-1%29=7%5E%28x-q%29
Thanks!
Answer by chriswen(106) About Me  (Show Source):
You can put this solution on YOUR website!
2%5E%283x-1%29=7%5E%28x-q%29
log2%5E%283x-1%29=log7%5E%28x-q%29
%283x-1%29log2=%28x-q%29log7
3xlog2-log2=xlog7-qlog7
3xlog2-xlog7=log2-qlog7
x%283log2-log7%29=log2-qlog7
x=%28log2-qlog7%29%2F%283log2-log7%29
Is this okay as the final answer?
To leave it in log form.
You could also simplify:
3log2-log7
=log2%5E3-log7
=log8-log7
=log%288%2F7%29