document.write( "Question 927994: Write the expression as a sum and or difference of logarithms express powers as factors. Problem: log base 5(25x) I tried this: log base 5 25+log base 5 x so if you put it in exponential form you get 5^x=25 and 5^x=x. I'm not sure if i'm doing this right. I get lost in the steps. The answer is supposed to be 2+log base 5 then big x. \n" ); document.write( "
Algebra.Com's Answer #563377 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"log%285%2C%2825x%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"log%285%2C%2825%29%29%2Blog%285%2C%28x%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"log%285%2C%285%5E2%29%29%2Blog%285%2C%28x%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"2%2Alog%285%2C%285%29%29%2Blog%285%2C%28x%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"2%2A1%2Blog%285%2C%28x%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"2%2Blog%285%2C%28x%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "So \"log%285%2C%2825x%29%29\" expands out into \"2%2Blog%285%2C%28x%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "If you need more one-on-one help, email me at jim_thompson5910@hotmail.com. You can ask me a few more questions for free, but afterwards, I would charge you ($2 a problem to have steps shown or $1 a problem for answer only).\r
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