document.write( "Question 557670: $\"log%284%2Cx%5E2-3%29\"$ + $\"log%284%2C10%29\"$ =1 \n" ); document.write( "

Algebra.Com's Answer #362700 by josmiceli(19441) $\"\"$ $\"About$

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$\"+log%28+4%2C%28x%5E2-3%29+%29+\"$ + $\"log%28+4%2C10+%29+=+1+\"$
\n" ); document.write( "Make the substitution:
\n" ); document.write( " $\"+log%28+4%2C4+%29+=+1+\"$
\n" ); document.write( " $\"+log%28+4%2C%28x%5E2-3%29+%29+\"$ + $\"log%28+4%2C10+%29+=+log%28+4%2C4+%29+\"$
\n" ); document.write( " $\"+log%28+4%2C+10%2A%28x%5E2+-+3%29+%29+=+log%28+4%2C4+%29+\"$
\n" ); document.write( " $\"+10%2A%28+x%5E2+-+3+%29+=+4+\"$
\n" ); document.write( " $\"+10x%5E2+-+30++=+4+\"$
\n" ); document.write( " $\"+10x%5E2+=+34+\"$
\n" ); document.write( " $\"+x%5E2+=+3.4+\"$
\n" ); document.write( " $\"+x+=+1.844+\"$
\n" ); document.write( "check answer:
\n" ); document.write( " $\"+log%28+4%2C%283.4-3%29+%29+\"$ + $\"log%28+4%2C10+%29+=+1+\"$
\n" ); document.write( " $\"+log%284%2C+.4+%29+%2B+log%28+4%2C+10+%29+=+1+\"$
\n" ); document.write( " $\"+log%28+4%2C+%28.4%2A10%29+%29+=+1+\"$
\n" ); document.write( " $\"+log%28+4%2C4+%29+=+1+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );