SOLUTION: Solve for x: {{{log(x,7)*log(7,5)=2}}}

Question 1118205: Solve for x:
Found 2 solutions by stanbon, greenestamps:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve for x: log(x,7)*log(7,5)=2
log(7)/log(x) *log(5)/log(7) = 2
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log(5)*log(x) = 2
log(x) = 2/log(5)
log(x) = 2.8614
x = 726.7
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Cheers,
Stan H.
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Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Use the change-of-base formula:

Then the last equation in that string says

Note that people who are familiar with logarithms simply look at the original equation

and "cancel" the 7's to get , then proceed from there.
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