SOLUTION: Solve for x. 6^(-7x)=17^(-x-3) Write the exact answer using base-10 logarithms

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Question 640307: Solve for x.
6^(-7x)=17^(-x-3)
Write the exact answer using base-10 logarithms
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x.
6^(-7x)=17^(-x-3)
Write the exact answer using base-10 logarithms
**
6^(-7x)=17^(-x-3)
6^(-7x)=17^-(x+3)
1/6^7x=1/17^(x+3)
6^7x=17^(x+3)
take log of both sides
7xlog6=(x+3)log17
7xlog6=xlog17+3log17
7xlog6-xlog17=3log17
x(7log6-log17)=3log17
x=(3log17)/(7log6-log17)