document.write( "Question 547736: Hi, I have to solve for y in terms of x with this problem log6Y = LOG6 4- Log6 X
\n" ); document.write( "I'm not sure how to even start this problem. Any help is appreciated. Thank you
\n" ); document.write( "Beth \n" ); document.write( "

Algebra.Com's Answer #356536 by mathie123(224) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"log%28base6%29y=log%28base6%294-log%28base6%29x\"$ \r
\n" ); document.write( "\n" ); document.write( "We need to first make the right hand side into one log using the rule
\n" ); document.write( "log(a)+log(b)=log(ab)\r
\n" ); document.write( "\n" ); document.write( "So we have:
\n" ); document.write( " $\"log%28base6%29y=log%28base6%29%284%2Ax%29\"$ \r
\n" ); document.write( "\n" ); document.write( "Now to get rid of the logs, we take raise the whole thing to it's base(normally logs are base 10, but in this case it is base 6):
\n" ); document.write( " $\"6%5E%28log%28base6%29y%29=6%5E%28log%28base6%29%284%2Ax%29%29\"$
\n" ); document.write( " $\"y=4x\"$ \r
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\n" ); document.write( "\n" ); document.write( "Hopefully this helps:) let me know if you are still unsure.
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