Question 423010
{{{log(6,(4x-3))=2}}} Start with the given equation.



{{{4x-3=6^2}}} Convert to exponential form



{{{4x-3=36}}} Square 6 to get 36.



{{{4x=36+3}}} Add {{{3}}} to both sides.



{{{4x=39}}} Combine like terms on the right side.



{{{x=(39)/(4)}}} Divide both sides by {{{4}}} to isolate {{{x}}}.



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Answer:


So the solution is {{{x=39/4}}} 



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