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Popular >

simplify log_{10}(1/e)

Solution

simplify

lo g_{10} (\frac{1}{e})

Solution

- lo g_{10} (e)

+1

Decimal Notation

- 0.43429 \dots

Solution steps

lo g_{10} (\frac{1}{e})

Apply log rule:

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

lo g_{10} (\frac{1}{e}) = lo g_{10} (1) - lo g_{10} (e)

= lo g_{10} (1) - lo g_{10} (e)

Apply log rule:

lo g_{a} (1) = 0

= 0 - lo g_{10} (e)

0 - lo g_{10} (e) = - lo g_{10} (e)

= - lo g_{10} (e)

Popular Examples

simplify 3log_{10}(x)+4log_{10}(x-2)simplify

3 lo g_{10} (x) + 4 lo g_{10} (x - 2)

simplify (ln(0.7182)+ln(0.6798))/2 simplify

\frac{ln ( 0.7182 ) + ln ( 0.6798 )}{2}

simplify (ln(3)-ln(2))/8 simplify

\frac{ln ( 3 ) - ln ( 2 )}{8}

simplify ln(-2/3 e^{3x})simplify

ln (- \frac{2}{3} e^{3 x})

simplify log_{10}(2*pi*400*5030*(9498*10^{-9}))simplify

lo g_{10} (2 \cdot π \cdot 400 \cdot 5030 \cdot (9498 \cdot 1 0^{- 9}))

Frequently Asked Questions (FAQ)

What is log_{10}(1/e) ?
The solution to log_{10}(1/e) is -log_{10}(e)