en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (ln(x+h)-ln(x))/h

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Popular Examples

simplify log_{10}(m)+log_{10}(n)simplify

lo g_{10} (m) + lo g_{10} (n)

simplify log_{10}(x/5)simplify

lo g_{10} (\frac{x}{5})

simplify ln(14)-ln(7)simplify

ln (14) - ln (7)

simplify log_{4}(8)+2log_{4}(7)simplify

lo g_{4} (8) + 2 lo g_{4} (7)

simplify ln(xsqrt(x^2+y^2))simplify

ln (x x^{2} + y^{2})

Frequently Asked Questions (FAQ)

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