document.write( "Question 326879: Please help me solve this equation. $\"log_b+sqrt%28b%5E3%29\"$ \n" ); document.write( "

Algebra.Com's Answer #234095 by jessica43(140) $\"\"$ $\"About$

You can put this solution on YOUR website!
To solve this problem, you are going to need to use the base b logarithm formula to rewrite the problem:
\n" ); document.write( "log[base b]a = c means the same as b^c = a
\n" ); document.write( "So use this in your problem:
\n" ); document.write( "log[b] sqrt(b^3) = x
\n" ); document.write( "a = sqrt(b^3), b = b, c = x
\n" ); document.write( "Now rewrite as the exponent:
\n" ); document.write( "b^c = a
\n" ); document.write( "b^x = sqrt(b^3)
\n" ); document.write( "The square root of b^3 can be rewritten as b^(3/2) (rule of fractional exponents), so:
\n" ); document.write( "b^x = b^(3/2)
\n" ); document.write( "So x = 3/2. \n" ); document.write( "

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