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Popular >

simplify ln(1/(e^{750)})

Solution

simplify

ln (\frac{1}{e ^{750}})

Solution

- 750

Solution steps

ln (\frac{1}{e ^{750}})

Apply log rule:

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

ln (\frac{1}{e ^{750}}) = ln (1) - ln (e^{750})

= ln (1) - ln (e^{750})

Apply log rule:

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

ln (e^{750}) = 750 ln (e)

= ln (1) - 750 ln (e)

ln (1) = 0

750 ln (e) = 750

= 0 - 750

Simplify

= - 750

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Frequently Asked Questions (FAQ)

What is ln(1/(e^{750)}) ?
The solution to ln(1/(e^{750)}) is -750