document.write( "Question 411074: (log base of 3)3+(log base of 3)x=5 \n" ); document.write( "

Algebra.Com's Answer #288958 by Tatiana_Stebko(1539) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"log%283%2C3%29%2Blog%283%2Cx%29=5\"$
\n" ); document.write( "Use formulas $\"log%28c%2Ca%29%2Blog%28c%2Cb%29=log%28c%2C%28ab%29%29\"$ , so $\"log%283%2C3%29%2Blog%283%2Cx%29=log%283%2C3x%29\"$
\n" ); document.write( "__________ $\"a=%28log%28c%2Cc%5Ea%29%29\"$ , so $\"5=log%283%2C3%5E5%29=log%283%2C+243%29\"$
\n" ); document.write( " $\"log%283%2C3x%29=log%283%2C243%29\"$
\n" ); document.write( " $\"3x=243\"$
\n" ); document.write( " $\"x=243%2F3\"$
\n" ); document.write( " $\"x=81\"$
\n" ); document.write( ".
\n" ); document.write( "Check the answer
\n" ); document.write( " $\"log%283%2C3%29%2Blog%283%2C81%29=5\"$
\n" ); document.write( " $\"1%2B4=5\"$
\n" ); document.write( " $\"5=5\"$ - correct
\n" ); document.write( "Answer x=81 \n" ); document.write( "

\n" );