document.write( "Question 646070: Solve the following logarithmic equation. log(base5)(x+15)+log(base5)(x+134)=4 \n" ); document.write( "
Algebra.Com's Answer #406932 by lwsshak3(11628)\"\" \"About 
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Solve the following logarithmic equation.
\n" ); document.write( "log(base5)(x+15)+log(base5)(x+134)=4
\n" ); document.write( "place under single log
\n" ); document.write( "log5[(x+15)(x+134)]=4
\n" ); document.write( "convert to exponential form
\n" ); document.write( "5^4=(x+15)(x+134)
\n" ); document.write( "625=x^2+149x+2010
\n" ); document.write( "x^2+149x+1385=0
\n" ); document.write( "solve for x by following quadratic formula:
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "a=1, b=149, c=1385
\n" ); document.write( "ans:
\n" ); document.write( "x≈-139.039 (reject,(x+15)>0)
\n" ); document.write( "or
\n" ); document.write( "x≈-9.961
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