document.write( "Question 426485: How to simplify log2(0.5)^4?. I tryed it and my answer wasn't right. My answer was 1, -4, -0.90 and 2 \n" ); document.write( "

Algebra.Com's Answer #296671 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
It's a little confusing the way you present it
\n" ); document.write( "Is it:
\n" ); document.write( " $\"log%282%2C.5%5E4%29\"$
\n" ); document.write( "or is it
\n" ); document.write( " $\"%28log%282%2C.5%29%29%5E4\"$
\n" ); document.write( "I'm guessing it's the first one
\n" ); document.write( "The general rule is:
\n" ); document.write( " $\"+log%28a%5Eb%29+=+b%2Alog%28a%29+\"$ , so
\n" ); document.write( " $\"+log%282%2C.5%5E4%29+=+4%2A%28log%282%2C.5%29%29\"$
\n" ); document.write( "note that
\n" ); document.write( " $\"log%282%2C.5%29+=+log%282%2C2%5E%28-1%29%29\"$
\n" ); document.write( "From the above rule, this is
\n" ); document.write( " $\"+%28-1%29%2Alog%282%2C2%29+\"$ so, the whole thing is:
\n" ); document.write( " $\"+4%2A%28-1%29%2Alog%282%2C2%29+=+-4\"$ answer \n" ); document.write( "

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