document.write( "Question 1057131: I just need someone to explain this and why 2 is the answer:
\n" ); document.write( "3^(log base 9 (4))= 2\r
\n" ); document.write( "\n" ); document.write( "I'm not sure how to write out log base correctly, but it's log(4) with the base of 9.
\n" ); document.write( "

Algebra.Com's Answer #672223 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!
I just need someone to explain this and why 2 is the answer:
\n" ); document.write( "3^(log base 9 (4))= 2\r
\n" ); document.write( "\n" ); document.write( "I'm not sure how to write out log base correctly, but it's log(4) with the base of 9.
\n" ); document.write( "
\"3%5E%28log+%289%2C+%284%29%29%29\"
\n" ); document.write( "Let \"3%5E%28log+%289%2C+%284%29%29%29+=+x\"
\n" ); document.write( "\"log+%283%2C+%28x%29%29+=+log+%289%2C+%284%29%29\" ------- Converting from EXPONENTIAL to LOGARITHMIC form
\n" ); document.write( "\"log+%283%2C+%28x%29%29+=+log+%283%2C+%284%29%29%2Flog%283%2C+%289%29%29\" ------- Changing right side to base 3, by applying CHANGE OF BASE
\n" ); document.write( "\"log+%283%2C+%28x%29%29+=+log+%283%2C+%284%29%29%2F2\" ------- Changing \"log+%283%2C+%289%29%29\" to 2
\n" ); document.write( "\"2+%2A+log%283%2C+%28x%29%29+=+log+%283%2C+%284%29%29\" ----- Cross-multiplying
\n" ); document.write( "\"log+%283%2C+%28x%29%5E2%29+=+log+%283%2C+%284%29%29\" ------ Applying \"a+%2A+log+%28b%2C+%28c%29%29+=+log+%28b%2C%28c%29%5Ea%29\" to left-side of equation
\n" ); document.write( "\"x%5E2+=+4\" ------ Equating expressions since log bases are the same
\n" ); document.write( " \n" ); document.write( "
\n" );