SOLUTION: Please help me solve this equation: logx(12) = 3

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Question 973501: Please help me solve this equation: logx(12) = 3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
log%28x%2C%2812%29%29+=+3 Start with the given equation.


12+=+x%5E3 Convert to exponential form


x%5E3=12 Flip the equation


root%283%2Cx%5E3%29=root%283%2C12%29 Take the cube root of both sides to isolate x.


x=root%283%2C12%29 Exact answer (in terms of radicals)


x=12%5E%281%2F3%29%5E%22%22 Exact answer (in terms of rational exponents)


x=2.289428485 Approximate answer (after typing in 12^(1/3) into a calculator; see note below)


Note: The last link directs you to a calculator.
Once you get to the link, hit the "=" button to have the calculator compute the expression.
This will give you the approximate value of x.