document.write( "Question 475999: solve each:\r
\n" ); document.write( "\n" ); document.write( "(Can you please provide steps. i would really appreciate it. It would help me to better understand.)\r
\n" ); document.write( "\n" ); document.write( "1.) log base (x+2) of 16 = 4\r
\n" ); document.write( "\n" ); document.write( "2.) log base 3 of x + log base 3 of (x-2) = 1\r
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Algebra.Com's Answer #326437 by Tatiana_Stebko(1539)\"\" \"About 
You can put this solution on YOUR website!
1.) \"log%28%28x%2B2%29%2C+16%29=4\"
\n" ); document.write( "Formula \"log%28c%2Ca%29=b\" <=> \"a=c%5Eb\"
\n" ); document.write( "\"16=%28x%2B2%29%5E4\"
\n" ); document.write( "We can look at 16 like at \"2%5E4\"
\n" ); document.write( "\"2%5E4=%28x%2B2%29%5E4\"
\n" ); document.write( "\"x%2B2=2\"
\n" ); document.write( "\"x=2-2\"
\n" ); document.write( "\"x=0\"
\n" ); document.write( "Check \"log%28%280%2B2%29%2C+16%29=4\"
\n" ); document.write( "\"log%282%2C+16%29=4\"
\n" ); document.write( "\"log%282%2C+2%5E4%29=4\"
\n" ); document.write( "\"4=4\" correct
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\n" ); document.write( "2.) \"log%283%2Cx%29+%2B+log%283%2C%28x-2%29%29+=+1\"
\n" ); document.write( "\"system%28x%3E0%2Cx-2%3E0%29\" => \"system%28x%3E0%2Cx%3E2%29\" => \"x%3E2\"
\n" ); document.write( "Use formula
\n" ); document.write( "\"x%28x-2%29=3%5E1\"
\n" ); document.write( "\"x%5E2-2x-3=0\"
\n" ); document.write( " \"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( " \"x+=+%28-%28-2%29%2B-+sqrt%28+%28-2%29%5E2-4%2A1%2A%28-3%29+%29%29%2F%282%2A1%29+\"
\n" ); document.write( " \"x+=+%282+%2B-+sqrt%28+16%29%29%2F2+\"
\n" ); document.write( " \"x+=+%282+-+4%29%2F2+=-1%3C2\" the extraneous root
\n" ); document.write( " \"x+=+%282+%2B4%29%2F2+=3\"
\n" ); document.write( "Answer: 3 \n" ); document.write( "
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