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Popular >

simplify ln((x+h)/x)

Solution

simplify

ln (\frac{x + h}{x})

Solution

ln (x + h) - ln (x)

Solution steps

ln (\frac{x + h}{x})

Apply log rule:

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

ln (\frac{x + h}{x}) = ln (x + h) - ln (x)

= ln (x + h) - ln (x)

Popular Examples

simplify-log_{10}(1.25*10^{-7})simplify

- lo g_{10} (1.25 \cdot 1 0^{- 7})

simplify log_{3}(x^8y^6)simplify

lo g_{3} (x^{8} y^{6})

simplify log_{3}(a^2b)simplify

lo g_{3} (a^{2} b)

simplify 2log_{10}(x)-5log_{10}(y)+3log_{10}(z)simplify

2 lo g_{10} (x) - 5 lo g_{10} (y) + 3 lo g_{10} (z)

simplify log_{5}(40)+log_{5}(8)simplify

lo g_{5} (40) + lo g_{5} (8)

Frequently Asked Questions (FAQ)

What is ln((x+h)/x) ?
The solution to ln((x+h)/x) is ln(x+h)-ln(x)