Question 1118205
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Use the change-of-base formula:<br>
{{{log(x,7)*log(7,5) = (log(b,7)/log(b,x))*(log(b,5)/log(b,7)) = log(b,5)/log(b,x) = log(x,5) = 2}}}<br>
Then the last equation in that string says<br>
{{{x^2 = 5}}}
{{{x = sqrt(5)}}}<br>
Note that people who are familiar with logarithms simply look at the original equation <br>
{{{log(x,7)*log(7,5)=2}}}<br>
and "cancel" the 7's to get {{{log(x,5) = 2}}}, then proceed from there.