Question 858145
{{{log(4,sqrt(2x-5))=x+1}}}


{{{log(4,(2x-5)^(0.5))=x+1}}}

{{{(0.5)log(4,2x-5)=x+1}}}

{{{log(4,2x-5)=(x+1)/0.5=(x+1)/(1/2)}}}

{{{log(4,2x-4)=2x+2}}}

The best next step is to restate the equation in exponential form and continue to solve for x.  I stop here and let you finish.