SOLUTION: Solve for x 8^(2x)=13^(x+10) Write the exact answer using base-10 logarithms.

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Question 449527: Solve for x
8^(2x)=13^(x+10)
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
8^(2x)=13^(x+10)
Write the exact answer using base-10 logarithms.
..
8^(2x)=13^(x+10)
taking log of both sides
2xlog8=(x+10)log13
2xlog8=xlog13+10log13
2xlog8-xlog13=10log13
x(2log8-log13)=10log13
x=10log13/(2log8-log13)