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Popular >

simplify ln(x/(e^t))

Solution

simplify

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

Solution

ln (x) - t

Solution steps

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

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{x}{e ^{t}}) = ln (x) - ln (e^{t})

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

Apply log rule:

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

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

= ln (x) - t ln (e)

t ln (e) = t

= ln (x) - t

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Frequently Asked Questions (FAQ)

What is ln(x/(e^t)) ?
The solution to ln(x/(e^t)) is ln(x)-t