document.write( "Question 819231: Can I please ask for help to solve x from this question?
\n" ); document.write( " $\"log%28x%2C+%283%29%29+=+4\"$
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Algebra.Com's Answer #493014 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
Rewrite it in exponential form:
\n" ); document.write( " $\"3+=+x%5E4\"$
\n" ); document.write( "4th root of each side:
\n" ); document.write( " $\"0%2B-+root%284%2C+3%29+=+x\"$
\n" ); document.write( "(Note: The zero is there only because algebra.com will not let me use the \"plus or minus\" sign without a number in front. You should not use the zero.)

\n" ); document.write( "Check. This is not optional. Use the original equation to check:
\n" ); document.write( " $\"log%28x%2C+%283%29%29+=+4\"$
\n" ); document.write( "Checking $\"x+=+root%284%2C+3%29\"$ :
\n" ); document.write( " $\"log%28root%284%2C+3%29%2C+%283%29%29+=+4\"$
\n" ); document.write( "The base is positive but not 1. So it is valid. The argument is positive so it is valid, too. So this solution checks out.
\n" ); document.write( "Checking $\"x+=+-root%284%2C+3%29\"$ :
\n" ); document.write( " $\"log%28-root%284%2C+3%29%2C+%283%29%29+=+4\"$
\n" ); document.write( "The base is negative. This is an invalid base. So we reject this \"solution\".

\n" ); document.write( "The only solution to your equation is: $\"x+=+root%284%2C+3%29\"$ . (If you need this in the form of a decimal approximation, use $\"3%5E0.25\"$ in your calculator.) \n" ); document.write( "

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