document.write( "Question 238822: I need to prove why the following equations are equal to each other. I have tried factoring, and using the rules for logarithms (meaning using multiplication when adding and division when subtracting). I still can not figure it out. I do not know how to use subscripts for math problems on a computer so if you don't understand what I am asking it is completely understandable. But for now I will use log(2) of 3, meaning a log with a base of two, of three. Here is the equation:
\n" ); document.write( "[6log(2)3] / [1 + log(2)3] = [6ln3] / [ln2 + ln3]
\n" ); document.write( "Thank you,
\n" ); document.write( "Heather \n" ); document.write( "

Algebra.Com's Answer #175472 by kensson(21) $\"\"$ $\"About$

You can put this solution on YOUR website!
Using the change of base rule, I reckon the LHS works out to be:\r
\n" ); document.write( "\n" ); document.write( " $\"+%286+ln+3+%2F+ln+2%29+%2F+%281+%2B+ln+3+%2F+ln+2%29+\"$ \r
\n" ); document.write( "\n" ); document.write( "If we multiply top and bottom by ln 2, we get:\r
\n" ); document.write( "\n" ); document.write( " $\"+%286+ln+3%29+%2F+%28ln+2+%2B+ln+3%29+\"$ \r
\n" ); document.write( "\n" ); document.write( "as required. \n" ); document.write( "

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