document.write( "Question 549397: I'm completely done with my assignment, But i'm on my last question and it's a critical thinking question. It says, 2(log 2x - log y)-(log 3 + 2log 5). I got told the answer is: log 4x^2/75y^2 but i don't know how to work it out and explain my work. It's a difficult question and if you could help me that would be great. Thanks for your help. \n" ); document.write( "
Algebra.Com's Answer #357712 by nerdybill(7384)\"\" \"About 
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I'm completely done with my assignment, But i'm on my last question and it's a critical thinking question. It says, 2(log 2x - log y)-(log 3 + 2log 5). I got told the answer is: log 4x^2/75y^2 but i don't know how to work it out and explain my work. It's a difficult question and if you could help me that would be great. Thanks for your help.
\n" ); document.write( "You need to apply \"log rules\":
\n" ); document.write( "2(log 2x - log y)-(log 3 + 2log 5)
\n" ); document.write( "distribute the 2 and remove parentheses:
\n" ); document.write( "2log 2x - 2log y-log 3 - 2log 5
\n" ); document.write( "multiplier of a log can be thought of as an exponent:
\n" ); document.write( "log(2x)^2 - logy^2 - log(3) - log 5^2
\n" ); document.write( "subtraction can be thought of as division:
\n" ); document.write( "log(4x^2) - logy^2 - log(3) - log 25
\n" ); document.write( "log(4x^2)/y^2 - log(3) - log 25
\n" ); document.write( "log(4x^2)/3y^2 - log 25
\n" ); document.write( "log(4x^2)/(75y^2)\r
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