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,
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
