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Popular >

simplify log_{e}(8/10)

Solution

simplify

lo g_{e} (\frac{8}{10})

Solution

3 ln (2) - ln (10)

+1

Decimal Notation

- 0.22314 \dots

Solution steps

lo g_{e} (\frac{8}{10})

Apply log rule:

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

lo g_{e} (\frac{8}{10}) = lo g_{e} (8) - lo g_{e} (10)

= lo g_{e} (8) - lo g_{e} (10)

Apply log rule:

lo g_{e} (x) = ln (x)

= ln (8) - lo g_{e} (10)

Apply log rule:

lo g_{e} (x) = ln (x)

= ln (8) - ln (10)

ln (8) = 3 ln (2)

= 3 ln (2) - ln (10)

Popular Examples

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7 lo g_{7} (x) - \frac{1}{3} lo g_{7} (w)

simplify ln((a/c)/(b/d))+ln(c/d)simplify

ln (\frac{\frac{a}{c}}{\frac{b}{d}}) + ln (\frac{c}{d})

join 1/3 ln(-1/3)join

\frac{1}{3} ln (- \frac{1}{3})

simplify ln(1.6*10^6)+ln(28)simplify

ln (1.6 \cdot 1 0^{6}) + ln (28)

expand log_{10}((x^3)/(5y^2))expand

lo g_{10} (\frac{x ^{3}}{5 y ^{2}})

Frequently Asked Questions (FAQ)

What is log_{e}(8/10) ?
The solution to log_{e}(8/10) is 3ln(2)-ln(10)