document.write( "Question 858985: Please help with the following: If logb5 = 2 and logb7 = 3, find the value of the following expression : logb35b^4\r
\n" ); document.write( "\n" ); document.write( "Thank you for your help! \n" ); document.write( "

Algebra.Com's Answer #517461 by josgarithmetic(39628) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"log%28b%2C5%29=2\"$ and $\"log%28b%2C7%29=3\"$ as given.
\n" ); document.write( "Find $\"log%28b%2C%2835b%5E4%29%29\"$ .\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"log%28b%2C%2835b%5E4%29%29=log%28b%2C%285%2A7%2Ab%5E4%29%29\"$ _____|____factoring the argument
\n" ); document.write( " $\"log%28b%2C5%29%2Blog%28b%2C7%29%2Blog%28b%2Cb%5E4%29\"$ ______|____logarithm of a product
\n" ); document.write( " $\"log%28b%2C5%29%2Blog%28b%2C7%29%2B4%2Alog%28b%2Cb%29\"$ ______|____logarithm of number raised to a power
\n" ); document.write( "Using the given statements,
\n" ); document.write( " $\"2%2B3%2B4log%28b%2Cb%29\"$ _____________|_____substitution of given information
\n" ); document.write( " $\"5%2B4%2A1\"$ ____________________|______Exponential and logarithm functions are inverses
\n" ); document.write( " $\"highlight%28highlight%28highlight%289%29%29%29\"$ \n" ); document.write( "

\n" );