document.write( "Question 170256: Can someone please explain how to solve the following 2 problems. Any assistance you can provide is greatly appreciated!
\n" ); document.write( "the log of (x+5), base 2 + the log of (x-1), base 2 =4
\n" ); document.write( "and
\n" ); document.write( "the log of 6, base 36 = x \n" ); document.write( "

Algebra.Com's Answer #125690 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve for x:
\n" ); document.write( " $\"Log%5B2%5D%28x%2B5%29+%2B+Log%5B2%5D%28x-1%29+=+4\"$ Apply the \"product rule\" ( $\"Log%5Bb%5D%28M%29%2BLog%5Bb%5D%28N%29+=+Log%5Bb%5D%28M%2AN%29\"$ ) for logarithms to the left side.
\n" ); document.write( " $\"Log%5B2%5D%28%28x%2B5%29%28x-1%29%29+=+4\"$ Simplify the argument on the left side.
\n" ); document.write( " $\"Log%5B2%5D%28x%5E2%2B4x-5%29+=+4\"$ Rewrite the left side in its exponential form:( $\"Log%5Bb%5D%28x%29+=+y\"$ means $\"b%5Ey+=+x\"$ )
\n" ); document.write( " $\"2%5E4+=+x%5E2%2B4x-5\"$ Simplify.
\n" ); document.write( " $\"x%5E2%2B4x-5+=+16\"$ Subtract 16 from both sides.
\n" ); document.write( " $\"x%5E2%2B4x-21+=+0\"$ Factor this quadratic equation.
\n" ); document.write( " $\"%28x-3%29%28x%2B7%29+=+0\"$ Apply the zero product rule: If A*B = 0, then either A = 0, or B = 0, or both.
\n" ); document.write( " $\"x-3+=+0\"$ or $\"x%2B7+=+0\"$ so that...
\n" ); document.write( " $\"x+=+3\"$ or $\"x+=+-7\"$ \n" ); document.write( "

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