document.write( "Question 64483: I don't even know where to start with this one, looking for help\r
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\n" ); document.write( "\n" ); document.write( "27.) log x = (2/3) log 8 – (2 log 5 + log 2)\r
\n" ); document.write( "\n" ); document.write( "28.) log (x – 1) + log (x – 1) = log 3
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Algebra.Com's Answer #45141 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
27.) log x = (2/3) log 8 – (2 log 5 + log 2)
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\n" ); document.write( "You don't even need to find the logs of these, use the exponent equiv & rules:
\n" ); document.write( "log x = log(8^(2/3)) - log(5^2) + log (2)
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\n" ); document.write( "you know that Cube root of 8 is 2, and 2^2 = 4, 5^2 is 25, so you have:
\n" ); document.write( "log x = log(4) - (log(25) + log(2))
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\n" ); document.write( "Adding logs is that same as multiply so you have:
\n" ); document.write( "log x = log(4) - log(50)
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\n" ); document.write( "Subtracting logs is the same as dividing so you have:
\n" ); document.write( "log x = log(4/50)
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\n" ); document.write( "if the log of x = log (4/50) then
\n" ); document.write( "x = 4/50
\n" ); document.write( "x = .08
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\n" ); document.write( "28.) log (x – 1) + log (x – 1) = log 3
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\n" ); document.write( "You are adding like terms so you have:
\n" ); document.write( "2*log(x-1) = log 3
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\n" ); document.write( "Find the log of 3
\n" ); document.write( "2*log(x-1) = .477
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\n" ); document.write( "Divide both sids by 2:
\n" ); document.write( "log(x-1) = .477/2
\n" ); document.write( "log(x-1) = .2385
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\n" ); document.write( "Find the anti log (10^) of both sides:
\n" ); document.write( "x - 1 = 1.732
\n" ); document.write( "x = 1.732 + 1
\n" ); document.write( "x = 2.732
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\n" ); document.write( "Check using a calc:
\n" ); document.write( "2*log(1.732) = log(3)
\n" ); document.write( "2 * .2385 = .477
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\n" ); document.write( "Did this help?\r
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