document.write( "Question 600332: I need a lot of help on.... log base 4 (x+1) - log base 4x=3 \n" ); document.write( "
Algebra.Com's Answer #379251 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"log%284%2C%28x%2B1%29%29-log%284%2C%28x%29%29+=+3\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"log%284%2C%28%28x%2B1%29%2Fx%29%29+=+3\" Condense the logs using the identity \"log%28b%2C%28X%29%29+-+log%28b%2C%28Y%29%29+=+log%28b%2C%28X%2FY%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%2B1%29%2Fx+=+4%5E3\" Convert to exponential form.\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%2B1%29%2Fx+=+64\" Cube 4 to get 64\r
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\n" ); document.write( "\n" ); document.write( "\"x%2B1+=+64x\" Multiply both sides by x\r
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\n" ); document.write( "\n" ); document.write( "\"1+=+64x-x\" Subtract x from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"1+=+63x\" Combine like terms\r
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\n" ); document.write( "\n" ); document.write( "\"1%2F63+=+x\" Divide both sides by 63 to isolate x\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+1%2F63\" Flip the equation.\r
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\n" ); document.write( "\n" ); document.write( "So the solution is \"x+=+1%2F63\"
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