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Popular >

simplify-log_{e}(1/2)

Solution

simplify

- lo g_{e} (\frac{1}{2})

Solution

ln (2)

+1

Decimal Notation

0.69314 \dots

Solution steps

- lo g_{e} (\frac{1}{2})

Apply log rule:

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

lo g_{e} (\frac{1}{2}) = lo g_{e} (1) - lo g_{e} (2)

= - (lo g_{e} (1) - lo g_{e} (2))

Apply log rule:

lo g_{a} (1) = 0

= - (- lo g_{e} (2) + 0)

Apply log rule:

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

= - (- ln (2) + 0)

0 - ln (2) = - ln (2)

= - (- ln (2))

Apply rule

- (- a) = a

= ln (2)

Popular Examples

simplify-ln(100)+ln(101)simplify

- ln (100) + ln (101)

simplify log_{8}(xe^x)simplify

lo g_{8} (x e^{x})

simplify ln((6.5)/5)simplify

ln (\frac{6.5}{5})

simplify 0.65log_{10}(0.39x)+1.45 simplify

0.65 lo g_{10} (0.39 x) + 1.45

simplify ln(200/100)simplify

ln (\frac{200}{100})

Frequently Asked Questions (FAQ)

What is simplify-log_{e}(1/2) ?
The solution to simplify-log_{e}(1/2) is ln(2)