<PRE><B>Question 895258</B>
5 ^x-1/3 = power 3 square root of 5 (the 3 is small and on top of the square root)


{{{5^x-1/3=(sqrt(5))^3}}}
{{{5^x=1/3+sqrt(5)sqrt(5)sqrt(5)}}}
{{{5^x=1/3*5*5^(1/2)}}}


Decimal approximation for the right member, and then table of common logarithms or calculator to continue.


{{{5^x=11.5136732208}}}

{{{x*log(10,5)=log(10,11.5136732208)}}}
{{{x*0.6989700=1.06121389921}}}
{{{x=1.51825}}}

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