en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(x-3)-ln(x)

Solution

simplify

ln (x - 3) - ln (x)

Solution

ln (\frac{x - 3}{x})

Solution steps

ln (x - 3) - ln (x)

Apply log rule:

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

ln (x - 3) - ln (x) = ln (\frac{x - 3}{x})

= ln (\frac{x - 3}{x})

Popular Examples

simplify ln((86-70)/(86-50))simplify

ln (\frac{86 - 70}{86 - 50})

simplify-log_{10}(1x10^{7.4})simplify

- lo g_{10} (1 x 1 0^{7.4})

simplify 3ln(1/2)+ln(16)simplify

3 ln (\frac{1}{2}) + ln (16)

simplify ln((a^1)/(b^3c^4))simplify

ln (\frac{a ^{1}}{b ^{3} c ^{4}})

simplify x^4-ln(xy)+3^{2x+y^2}simplify

x^{4} - ln (x y) + 3^{2 x + y^{2}}

Frequently Asked Questions (FAQ)

What is ln(x-3)-ln(x) ?
The solution to ln(x-3)-ln(x) is ln((x-3)/x)