# math

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ln x^4 + ln X = 24 ln e. Find the value of x.

ln x^5=24
x^5=e^24....next i don't know how to solve it.
someone plz show me the calculation steps.

• math -

ln x^4 + ln x = 24 lne
ln (x^5) = 24
5 ln x = 24
ln x = 24/5 = 4.8
x = e^4.8 by definition
x = appr 121.51

yours is not wrong, but you have huge numbers
x^5 = e^24
so x is the fifth root of e^24
or (e^24)^(1/5) = e^4.8
evaluate e^4.8 to get appr 121.51

(really it is the same thing I did )

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