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Popular >

simplify ln(6/(e^7))

Solution

simplify

ln (\frac{6}{e ^{7}})

Solution

ln (6) - 7

+1

Decimal Notation

- 5.20824 \dots

Solution steps

ln (\frac{6}{e ^{7}})

Apply log rule:

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

ln (\frac{6}{e ^{7}}) = ln (6) - ln (e^{7})

= ln (6) - ln (e^{7})

Apply log rule:

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

ln (e^{7}) = 7 ln (e)

= ln (6) - 7 ln (e)

7 ln (e) = 7

= ln (6) - 7

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Frequently Asked Questions (FAQ)

What is ln(6/(e^7)) ?
The solution to ln(6/(e^7)) is ln(6)-7