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Popular >

simplify ln(1/(10^{-5)})

Solution

simplify

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

Solution

ln (1) - - 5 ln (10)

+1

Decimal Notation

- 11.51292 \dots

Solution steps

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

Apply log rule:

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

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

= ln (1) - 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 (1) - - 5 ln (10)

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Frequently Asked Questions (FAQ)

What is ln(1/(10^{-5)}) ?
The solution to ln(1/(10^{-5)}) is ln(1)--5ln(10)