Question 1204568
log(9,3*sqrt(3))=x


{{{log(9,3*sqrt(3))=x}}}


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{{{9^x=3sqrt(3)}}}

{{{(3^2)^x=3^1*3^(1/2)}}}

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

same base both sides so the exponents are equal.

{{{2x=3/2}}}

{{{highlight(x=3/4)}}}