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Popular >

simplify-ln(a/b)

Solution

simplify

- ln (\frac{a}{b})

Solution

- ln (a) + ln (b)

Solution steps

- ln (\frac{a}{b})

Apply log rule:

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

ln (\frac{a}{b}) = ln (a) - ln (b)

= - (ln (a) - ln (b))

Distribute parentheses

= - (ln (a)) - (- ln (b))

Apply minus-plus rules

- (- a) = a, - (a) = - a

= - ln (a) + ln (b)

Popular Examples

simplify-log_{10}(2.7*10^{-3})simplify

- lo g_{10} (2.7 \cdot 1 0^{- 3})

simplify ln(x)-3[ln(x-5)+ln(x+5)]simplify

ln (x) - 3 [ln (x - 5) + ln (x + 5)]

simplify ln(2/27)simplify

ln (\frac{2}{27})

simplify log_{2}((sqrt(a^2-9))/5)simplify

lo g_{2} (\frac{a ^{2} - 9}{5})

expand log_{10}(x/(1000))expand

lo g_{10} (\frac{x}{1000})

Frequently Asked Questions (FAQ)

What is simplify-ln(a/b) ?
The solution to simplify-ln(a/b) is -ln(a)+ln(b)