en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(10x-25)-2ln(x)

Solution

simplify

ln (10 x - 25) - 2 ln (x)

Solution

ln (\frac{10 x - 25}{x ^{2}})

Solution steps

ln (10 x - 25) - 2 ln (x)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 ln (x) = ln (x^{2})

= ln (10 x - 25) - ln (x^{2})

Apply log rule:

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

ln (10 x - 25) - ln (x^{2}) = ln (\frac{10 x - 25}{x ^{2}})

= ln (\frac{10 x - 25}{x ^{2}})

Popular Examples

simplify ln(36000000/9000000)simplify

ln (\frac{36000000}{9000000})

simplify ln(2/(3^25^4))simplify

ln (\frac{2}{3 ^{2} 5 ^{4}})

simplify ln(92)-ln(32)simplify

ln (92) - ln (32)

simplify 0.01*ln(0.95*10000)simplify

0.01 \cdot ln (0.95 \cdot 10000)

simplify ln((b^2asqrt(a))/c)simplify

ln (\frac{b ^{2} a a}{c})

Frequently Asked Questions (FAQ)

What is ln(10x-25)-2ln(x) ?
The solution to ln(10x-25)-2ln(x) is ln((10x-25)/(x^2))