document.write( "Question 174944: log_2 (2m+4) – log_2 (m-1) =3 \n" ); document.write( "

Algebra.Com's Answer #130062 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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log_2(2m+4) – log_2(m-1) = 3
\n" ); document.write( ":
\n" ); document.write( "subtraction of logs means divide, we can write it:
\n" ); document.write( "log_2 $\"%28%282m%2B4%29%2F%28m-1%29%29\"$ = 3
\n" ); document.write( ":
\n" ); document.write( "Exponent equiv:
\n" ); document.write( "2^3 = $\"%282m%2B4%29%2F%28m-1%29\"$
\n" ); document.write( "8 = $\"%282m%2B4%29%2F%28m-1%29\"$
\n" ); document.write( "8(m-1) = 2m + 4
\n" ); document.write( ":
\n" ); document.write( "8m - 8 = 2m + 4
\n" ); document.write( ":
\n" ); document.write( "8m - 2m = 4 + 8
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\n" ); document.write( "6m = 12
\n" ); document.write( "m = $\"12%2F6\"$
\n" ); document.write( "m = 2
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\n" ); document.write( ":
\n" ); document.write( "Check solution in original problem:
\n" ); document.write( "log_2(2(2)+4) – log_2(2-1) = 3
\n" ); document.write( "log_2(8) – log_2(1) = 3
\n" ); document.write( "3 - 0 = 3 \n" ); document.write( "

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