document.write( "Question 134967: Solve for x: logbase2(logbase3(logbase4 x)=0 \n" ); document.write( "

Algebra.Com's Answer #98840 by josmiceli(19441) $\"\"$ $\"About$

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$\"log%282%2C%28log%283%2C%28log%284%2Cx%29%29%29%29%29+=+0\"$
\n" ); document.write( "Just looking at the outside pair of parenthses and nothing
\n" ); document.write( "inside, I see $\"log%282%2C+k%29+=+0\"$ where $\"k\"$ is all the other
\n" ); document.write( "stuff. This is telling me $\"2%5E0+=+k\"$ or $\"k+=+1\"$ , so
\n" ); document.write( " $\"log%283%2C%28log%284%2Cx%29%29%29+=+1\"$
\n" ); document.write( "Now I can say $\"log%283%2Cj%29+=+1\"$ , where $\"j+=+log%284%2Cx%29\"$
\n" ); document.write( "This tells me $\"3%5E1+=+j\"$ or $\"j+=+3\"$
\n" ); document.write( "Now I have
\n" ); document.write( " $\"log%284%2Cx%29+=+3\"$ or $\"4%5E3+=+x\"$
\n" ); document.write( " $\"x+=+64\"$ answer \n" ); document.write( "

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