en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(y/x)+ln(x)

Solution

simplify

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

Solution

ln (y)

Solution steps

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

Apply log rule:

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

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

= ln (\frac{y}{x} x)

Simplify

\frac{y}{x} x : y

= ln (y)

Popular Examples

simplify log_{4}(1/4 x)simplify

lo g_{4} (\frac{1}{4} x)

simplify 2log_{5}(t)+5log_{5}(t-6)+log_{5}(3t+7)simplify

2 lo g_{5} (t) + 5 lo g_{5} (t - 6) + lo g_{5} (3 t + 7)

simplify 1/2 ln(x)-1/2 ln(y)simplify

\frac{1}{2} ln (x) - \frac{1}{2} ln (y)

simplify log_{10}(x)-log_{10}(5)simplify

lo g_{10} (x) - lo g_{10} (5)

simplify log_{10}((x^2-9)/(x-3))simplify

lo g_{10} (\frac{x ^{2} - 9}{x - 3})

Frequently Asked Questions (FAQ)

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