Question 872303
{{{log(2,x)+log(4,x)=5}}}
Using change-of-base formula,
{{{log(2,x)+log(2,x)/log(2,4)=5}}}
{{{log(2,x)+log(2,x)/2=5}}}, and I did not show the two separate steps;
{{{log(2,x)(1+1/2)=5}}}
{{{log(2,x)=5(2/3)}}}
{{{log(2,x)=10/3}}}


{{{2^(10/3)=x}}}


{{{x=(2^10)^(1/3)}}}, ... to the tenth power to the three power
{{{x=root(3,2^10)}}}
{{{x=2*2*2*2^(1/3)}}}
{{{highlight(x=8*2^(1/3)=8*root(3,2))}}}