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Popular >

simplify ln(e^t*ln(t))

Solution

simplify

ln (e^{t} \cdot ln (t))

Solution

t + ln (ln (t))

Solution steps

ln (e^{t} ln (t))

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (e^{t} ln (t)) = ln (e^{t}) + ln (ln (t))

= ln (e^{t}) + ln (ln (t))

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (e^{t}) = t ln (e)

= t ln (e) + ln (ln (t))

t ln (e) = t

= t + ln (ln (t))

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Frequently Asked Questions (FAQ)

What is ln(e^t*ln(t)) ?
The solution to ln(e^t*ln(t)) is t+ln(ln(t))