SOLUTION: how do i simplify 3^(5(log3e)ln(x))
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Question 986461: how do i simplify 3^(5(log3e)ln(x))
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The only thing I can think to do is to use the base change formula and make both of the log functions in the exponent be natural logs.
\ =\ \frac{\ln(e)}{\ln(3)}\ =\ \frac{1}{\ln(3)})
So
ln(x)}\ =\ 3^{\frac{5\ln(x)}{\ln(3)}}\ \approx\ 3^{4.5512\cdot \ln(x)})
John
My calculator said it, I believe it, that settles it
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