document.write( "Question 1134980: Solve logxbase8 + log(1/6)base4 = 1/3 \n" ); document.write( "

Algebra.Com's Answer #752488 by greenestamps(13209) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "I read this as

\n" ); document.write( " $\"log%288%2C%28x%29%29%2Blog%284%2C%281%2F6%29%29+=+1%2F3\"$

\n" ); document.write( "Then

\n" ); document.write( " $\"3log%288%2C%28x%29%29%2B3log%284%2C%281%2F6%29%29+=+1\"$ (multiply by 3 to get a whole number on the right)

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(convert to log base 2)

\n" ); document.write( " $\"log%282%2C%28x%29%29%2B%283%2F2%29log%282%2C%281%2F6%29%29+=+log%282%2C%282%29%29\"$

\n" ); document.write( " $\"2%2Alog%282%2C%28x%29%29%2B3%2Alog%282%2C%281%2F6%29%29+=+2%2Alog%282%2C%282%29%29\"$ (multiply by 2 again to clear fractions)

\n" ); document.write( " $\"%28x%5E2%29%28%281%2F6%29%5E3%29+=+2%5E2\"$ (convert to exponential form)
\n" ); document.write( " $\"x%5E2%2F6%5E3+=+2%5E2\"$
\n" ); document.write( " $\"x%5E2+=+%282%5E2%29%286%5E3%29+=+%282%5E2%29%282%5E3%29%283%5E3%29+=+%282%5E5%29%283%5E3%29\"$
\n" ); document.write( " $\"x+=+12%2Asqrt%286%29\"$
\n" ); document.write( " \n" ); document.write( "

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