document.write( "Question 197093This question is from textbook Algebra and Trigonometry Structure and Method book 2
\n" ); document.write( ": I have been working on this math problem and I can't seem to figure it out. I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!\r
\n" ); document.write( "\n" ); document.write( "Laws of Logarithms
\n" ); document.write( "log base 2 (log base 4 of x)= 1
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Algebra.Com's Answer #147765 by Earlsdon(6294)\"\" \"About 
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Solve for x:
\n" ); document.write( "\"Log%5B2%5D%28Log%5B4%5D%28x%29%29+=+1\"Recalling the definition of the logarithm of a number or expression (\"Log%5B4%5D%28x%29\"):
\n" ); document.write( "\"The logarithm of a number (\"Log%5B4%5D%28x%29\") is the power to which the base (2) must be raised to equal that number\"
\n" ); document.write( "\"Log%5B2%5D%28Log%5B4%5D%28x%29%29+=+1\" can thus be written:
\n" ); document.write( "\"2%5E1+=+Log%5B4%5D%28x%29\" or
\n" ); document.write( "\"Log%5B4%5D%28x%29+=+2\" Applying the definition again...
\n" ); document.write( "\"4%5E2+=+x\" so that...
\n" ); document.write( "\"highlight%28x+=+16%29\"
\n" ); document.write( "Check:
\n" ); document.write( "\"Log%5B2%5D%28Log%5B4%5D%28x%29%29+=+1\" Substitute \"x+=+4%5E2\"
\n" ); document.write( "\"Log%5B2%5D%28Log%5B4%5D%284%5E2%29%29+=+1\" Apply the power rule:
\n" ); document.write( "\"Log%5B2%5D%282%2ALog%5B4%5D%284%29%29+=+1\" But \"Log%5Bn%5D%28n%29+=+1\", so
\n" ); document.write( "\"Log%5B2%5D%282%29+=+1\" Again, \"Log%5Bn%5D%28n%29+=+1\" so...
\n" ); document.write( "\"1+=+1\"
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