document.write( "Question 66076: log2x+log(x+1)=log(log1000)\r
\n" ); document.write( "\n" ); document.write( "log7-log(4x+5)+log(2x-3)=0\r
\n" ); document.write( "\n" ); document.write( "logx^5=(logx)^5\r
\n" ); document.write( "\n" ); document.write( "3^92x+1)=4^(3-x)
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Algebra.Com's Answer #46801 by Nate(3500)\"\" \"About 
You can put this solution on YOUR website!
log2x + log(x+1) = log(log1000)
\n" ); document.write( "log(2x(x + 1)) = log(3)
\n" ); document.write( "log(2x^2 + 2x) - log(3) = 0
\n" ); document.write( "log((2x^2 + 2x)/3)) = 0
\n" ); document.write( "(2x^2 + 2x)/3 = 1
\n" ); document.write( "2x^2 + 2x = 3
\n" ); document.write( "x^2 + x = 3/2 At this point, you can choose your own way of solving.
\n" ); document.write( "(x + 1/2)^2 = 6/4 + 1/4 = 7/4
\n" ); document.write( "x + 1/2 = +- sqrt(7)/2
\n" ); document.write( "x = (-1 +- sqrt(7))/2
\n" ); document.write( "You can not take the log of a negative number: x = (-1 + sqrt(7))/2
\n" ); document.write( "Answer: about 0.8228 (I don't believe in rounding for other mathematical purposes.)
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\n" ); document.write( "log(7) - log(4x + 5) + log(2x - 3) = 0
\n" ); document.write( "log(7(2x - 3)/(4x + 5)) = 0
\n" ); document.write( "(14x - 21)/(4x + 5) = 1
\n" ); document.write( "14x - 21 = 4x + 5
\n" ); document.write( "10x = 26
\n" ); document.write( "x = 2.6
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\n" ); document.write( "log(x^5) = (log(x))^5
\n" ); document.write( "5*log(x) = (log(x))^5
\n" ); document.write( "5 = log(x)^4
\n" ); document.write( "5^(1/4) = log(x)
\n" ); document.write( "10^(5^(1/4)) = x
\n" ); document.write( "and x = 1 because each side is an equivalent (neither is adding or subtracting)
\n" ); document.write( "\"graph%28700%2C300%2C-8%2C35%2C-10%2C10%2Clog%2810%2Cx%5E5%29%2C%28log%2810%2Cx%29%29%5E5%29\"
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\n" ); document.write( "3^92x+1)=4^(3-x)
\n" ); document.write( "I do not know where the parenthesis ends. All you do is log each side and discover an answer that is relatively close.
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