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Popular >

simplify ln(xe^{(xt)})

Solution

simplify

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

Solution

ln (x) + x t

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

x t ln (e) = x t

= ln (x) + x t

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Frequently Asked Questions (FAQ)

What is ln(xe^{(xt)}) ?
The solution to ln(xe^{(xt)}) is ln(x)+xt