document.write( "Question 171030: 4^x+5 = 6
\n" ); document.write( "so far I have
\n" ); document.write( "log 4^x+5 = log 6
\n" ); document.write( "(x+5)log 4 = log 6
\n" ); document.write( "not sure where to go from here, any help is appreciated
\n" ); document.write( "thanks
\n" ); document.write( "sherry
\n" ); document.write( "

Algebra.Com's Answer #126253 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Solve for x:
\n" ); document.write( "First, you ought to use parentheses to show that the exponent is (x+5).
\n" ); document.write( "\"4%5E%28x%2B5%29+=+6\" Take the logarithm of both sides.
\n" ); document.write( "\"log%284%29%5E%28x%2B5%29+=+log%286%29\" Apply the power rule to the left side.
\n" ); document.write( "\"%28x%2B5%29%2Alog%284%29+=+log%286%29\" Divide both sides by \"log%284%29\"
\n" ); document.write( "\"x%2B5+=+%28log%286%29%29%2Flog%284%29\" Evaluate the right side.
\n" ); document.write( "\"x%2B5+=+1.29248\" Subtract 5 from both sides.
\n" ); document.write( "\"x+=+-3.70752\"
\n" ); document.write( "---------------------------------------------
\n" ); document.write( "At first, because you have no parentheses in 4^x+5 = 6, I assumed that the problem was:
\n" ); document.write( "\"4%5Ex+%2B+5+=+6\" If this is what you really meant to write, then: Subtract 5 from both sides.
\n" ); document.write( "\"4%5Ex+=+1\" Take the log of both sides.
\n" ); document.write( "\"log%284%5Ex%29+=+log%281%29\" Apply the power rule to the left side.
\n" ); document.write( "\"x%2Alog%284%29+=+log%281%29\" Divide both sides by \"log%284%29\"
\n" ); document.write( "\"x+=+%28log%281%29%29%2Flog%284%29\" But \"log%281%29+=+0\", so...
\n" ); document.write( "\"x+=+0\"
\n" ); document.write( "---------------------------------------------
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