en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ln(x)(1-y/x)

Solution

expand

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

Solution

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

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

a = ln (x), b = 1, c = \frac{y}{x}

= ln (x) \cdot 1 - ln (x) \frac{y}{x}

= 1 \cdot ln (x) - \frac{y}{x} ln (x)

Simplify

1 \cdot ln (x) - \frac{y}{x} ln (x) : ln (x) - \frac{y ln ( x )}{x}

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

Popular Examples

expand (2x^5+1/x)^{24}expand

(2 x^{5} + \frac{1}{x})^{24}

expand ((a+b+c)(-a+b+c)(a-b+c)(a+b-c))/(16)expand

\frac{( a + b + c ) ( - a + b + c ) ( a - b + c ) ( a + b - c )}{16}

expand (-3+5)(-3+1)(-3-5)(-3-1)expand

(- 3 + 5) (- 3 + 1) (- 3 - 5) (- 3 - 1)

simplify (x-3)(x-1/5)simplify

(x - 3) (x - \frac{1}{5})

expand (x+1)/((x+2)^2)expand

\frac{x + 1}{( x + 2 ) ^{2}}

Frequently Asked Questions (FAQ)

What is expand ln(x)(1-y/x) ?
The solution to expand ln(x)(1-y/x) is ln(x)-(yln(x))/x