document.write( "Question 96003: my problem is:
\n" ); document.write( "log (base 4) 9x^2 = log (base 2)(5x-8)\r
\n" ); document.write( "\n" ); document.write( "i think i have to switch the base on the left hand side to 2 which would give me
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\n" ); document.write( "log (base 2) 9x^2
\n" ); document.write( "----------------- = log (base 2)(5x-8)
\n" ); document.write( "log (base 2) 4\r
\n" ); document.write( "\n" ); document.write( "i dont even know if thats right..but after that im completely lost though...any help would be appreciated, thanks.
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Algebra.Com's Answer #69972 by scott8148(6628)\"\" \"About 
You can put this solution on YOUR website!
you are right about changing the base ... 2^2=4 so log(base2)4=2 ... so log(base2)9x^2=2(log(base2)(5x-8))\r
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\n" ); document.write( "\n" ); document.write( "multiplying a log by 2 means squaring the argument ... 9x^2=(5x-8)^2 ... taking square root gives 3x=5x-8 and -3x=5x-8\r
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\n" ); document.write( "\n" ); document.write( "so x=4 and x=1 ... but remember, logs are undefined for negative arguments [5(1)-8=-3] ... so 4 is the solution\r
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