Question 1197720
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{{{a=log(4,7)=log(7)/log(4)}}}<br>
{{{b=log(7,5)=log(5)/log(7)}}}<br>
Multiply: {{{ab=log(5)/log(4)}}}<br>
Solve for log(5): {{{log(5)=ab*log(4)}}}<br>
Convert {{{log(4)}}} into an expression with {{{log(5)}}}<br>
{{{log(5)=ab*log(4)=ab*log(100/25)=ab(log(100)-log(25))=ab(2-2log(5))}}}
{{{log(5)=2ab-2ablog(5)}}}<br>
{{{log(5)+2ablog(5)=2ab}}}<br>
{{{(1+2ab)log(5)=2ab}}}<br>
{{{log(5)=2ab/(1+2ab)}}}<br>
ANSWER: c)<br>