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Popular >

simplify ln((270)/(10^5))

Solution

simplify

ln (\frac{270}{1 0 ^{5}})

Solution

ln (270) - 5 ln (10)

+1

Decimal Notation

- 5.91450 \dots

Solution steps

ln (\frac{270}{1 0 ^{5}})

Apply log rule:

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

ln (\frac{270}{1 0 ^{5}}) = ln (270) - ln (1 0^{5})

= ln (270) - ln (1 0^{5})

Apply log rule:

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

ln (1 0^{5}) = 5 ln (10)

= ln (270) - 5 ln (10)

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Frequently Asked Questions (FAQ)

What is ln((270)/(10^5)) ?
The solution to ln((270)/(10^5)) is ln(270)-5ln(10)