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Popular >

simplify ln((1/2)/1)

Solution

simplify

ln (\frac{\frac{1}{2}}{1})

Solution

- ln (2)

+1

Decimal Notation

- 0.69314 \dots

Solution steps

ln (\frac{\frac{1}{2}}{1})

Apply log rule:

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

ln (\frac{\frac{1}{2}}{1}) = ln (\frac{1}{2}) - ln (1)

= ln (\frac{1}{2}) - ln (1)

Apply log rule:

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

ln (\frac{1}{2}) = ln (1) - ln (2)

= ln (1) - ln (2) - ln (1)

Simplify

ln (1) - ln (2) - ln (1) : - ln (2)

= - ln (2)

Popular Examples

simplify 3log_{7}(x)+2log_{7}(z)simplify

3 lo g_{7} (x) + 2 lo g_{7} (z)

simplify log_{a}(bc)+log_{b}(ca)simplify

lo g_{a} (b c) + lo g_{b} (c a)

simplify ln(75/49)simplify

ln (\frac{75}{49})

simplify ln(ln(1/(1-0.02)))-ln(ln(1/(1-0.003)))simplify

ln (ln (\frac{1}{1 - 0.02})) - ln (ln (\frac{1}{1 - 0.003}))

simplify 2.45+log_{10}((0.022)/(0.069))simplify

2.45 + lo g_{10} (\frac{0.022}{0.069})

Frequently Asked Questions (FAQ)

What is ln((1/2)/1) ?
The solution to ln((1/2)/1) is -ln(2)