document.write( "Question 925433: log8(x-5)=2/3 \n" ); document.write( "

Algebra.Com's Answer #561533 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( " $\"log%288%2C%28x-5%29%29=2%2F3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"3log%288%2C%28x-5%29%29=2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"log%288%2C%28x-5%29%5E3%29=2\"$ ............in base $\"10\"$ will be\r
\n" ); document.write( "\n" ); document.write( " $\"log%288%2C%28x-5%29%5E3%29%2Flog%288%29=2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"log%288%2C%28x-5%29%5E3%29=2log%288%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"log%288%2C%28x-5%29%5E3%29=log%288%5E2%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"log%288%2C%28x-5%29%5E3%29=log%2864%29\"$ .........if log same, then\r
\n" ); document.write( "\n" ); document.write( " $\"%28x-5%29%5E3=64\"$ .......solve for $\"x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"root%283%2C%28x-5%29%5E3%29=root%283%2C64%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x-5=4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=4%2B5\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=9\"$ \n" ); document.write( "

\n" );