SOLUTION: 2(log3)(logx) = log2

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Question 974072: 2(log3)(logx) = log2
Found 2 solutions by Boreal, Edwin McCravy:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
2(log3)(logx) = log2
log 9=log 3^2=2 log 3
log 9* log x=log2
log x=log2/log 9
log x= 0.301/0.954 = 0.316
raise everything to the 10 power. 10^log10=1 e^lne=1.
x= 2.07
2(0.477)(.316)=0.301
From years ago, log of 3 is almost one-half, so 2 log 3 (log 9) is almost 1
Therefore, log x is very nearly log 2,



Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!

Divide both sides by 



Evaluate the right side with a calculator:




Now we remember from the definition of logarithm that the

logarithm equation  is by definition
equivalent to the exponential equation .

Also we learned that when no base B is written it is understood that
the base B = 10.  Therefore



is equivalent to:



Using our calculator again we get



Edwin
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