document.write( "Question 957671: log8^(sqrt x-5)=1/3 \n" ); document.write( "

Algebra.Com's Answer #585248 by lwsshak3(11628) $\"\"$ $\"About$

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log8^(sqrt x-5)=1/3
\n" ); document.write( "log(8^√(x-5)=1/3
\n" ); document.write( "convert to exponential form
\n" ); document.write( "10^(1/3)=8^(√(x-5)
\n" ); document.write( "take log of both sides
\n" ); document.write( "1/3 log10=√(x-5)log8
\n" ); document.write( "1/3=√(x-5)log8
\n" ); document.write( "1/3log8=√(x-5)
\n" ); document.write( "square both sides
\n" ); document.write( "1/(3log8)^2=x-5
\n" ); document.write( "x=1/(3log8)^2+5
\n" ); document.write( "x≈5.1362
\n" ); document.write( " \n" ); document.write( "

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