document.write( "Question 64483: I don't even know where to start with this one, looking for help\r
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document.write( "Solve for x\r
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document.write( "27.) log x = (2/3) log 8 – (2 log 5 + log 2)\r
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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)![]() ![]() You can put this solution on YOUR website! 27.) log x = (2/3) log 8 – (2 log 5 + log 2) \n" ); document.write( ": \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) \n" ); document.write( ": \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)) \n" ); document.write( ": \n" ); document.write( "Adding logs is that same as multiply so you have: \n" ); document.write( "log x = log(4) - log(50) \n" ); document.write( ": \n" ); document.write( "Subtracting logs is the same as dividing so you have: \n" ); document.write( "log x = log(4/50) \n" ); document.write( ": \n" ); document.write( "if the log of x = log (4/50) then \n" ); document.write( "x = 4/50 \n" ); document.write( "x = .08 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "28.) log (x – 1) + log (x – 1) = log 3 \n" ); document.write( ": \n" ); document.write( "You are adding like terms so you have: \n" ); document.write( "2*log(x-1) = log 3 \n" ); document.write( ": \n" ); document.write( "Find the log of 3 \n" ); document.write( "2*log(x-1) = .477 \n" ); document.write( ": \n" ); document.write( "Divide both sids by 2: \n" ); document.write( "log(x-1) = .477/2 \n" ); document.write( "log(x-1) = .2385 \n" ); document.write( ": \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 \n" ); document.write( ": \n" ); document.write( "Check using a calc: \n" ); document.write( "2*log(1.732) = log(3) \n" ); document.write( "2 * .2385 = .477 \n" ); document.write( ": \n" ); document.write( "Did this help?\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |