document.write( "Question 683329: log_2(x+5) - log_2(x) = 4\r
\n" ); document.write( "\n" ); document.write( "and\r
\n" ); document.write( "\n" ); document.write( "2^(3x-2)= 3^(2x-1) \n" ); document.write( "

Algebra.Com's Answer #423503 by Alan3354(69443) $\"\"$ $\"About$

You can put this solution on YOUR website!
log_2(x+5) - log_2(x) = 4
\n" ); document.write( "I think you mean base 2
\n" ); document.write( " $\"log%282%2C%28x%2B5%29%29+-+log%282%2Cx%29+=+4\"$
\n" ); document.write( " $\"log%282%2C%28x%2B5%29%2Fx%29+=+4\"$
\n" ); document.write( " $\"x%2B5%29%2Fx+=+2%5E4+=+16\"$
\n" ); document.write( "x+5 = 16x
\n" ); document.write( "15x = 5
\n" ); document.write( "x = 1/3
\n" ); document.write( "===========
\n" ); document.write( "and
\n" ); document.write( "2^(3x-2)= 3^(2x-1)
\n" ); document.write( "(3x-2)*log(2) = (2x-1)*log(3)
\n" ); document.write( "etc \n" ); document.write( "

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