en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand log_{5}(1/25)

Solution

expand

lo g_{5} (\frac{1}{25})

Solution

- 2

Solution steps

lo g_{5} (\frac{1}{25})

Apply log rule:

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

lo g_{5} (\frac{1}{25}) = lo g_{5} (1) - lo g_{5} (25)

= lo g_{5} (1) - lo g_{5} (25)

Apply log rule:

lo g_{a} (1) = 0

= 0 - lo g_{5} (25)

0 - lo g_{5} (25) = - lo g_{5} (25)

= - lo g_{5} (25)

Simplify

lo g_{5} (25) : 2

= - 2

Popular Examples

simplify 14ln(3/4)+2 simplify

14 ln (\frac{3}{4}) + 2

simplify ln(215/200)simplify

ln (\frac{215}{200})

simplify ln(x)e^3-3ln(e/x)simplify

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

simplify-ln(1+x)+ln(x)simplify

- ln (1 + x) + ln (x)

simplify ln((casqrt(a))/b)simplify

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

Frequently Asked Questions (FAQ)

What is expand log_{5}(1/25) ?
The solution to expand log_{5}(1/25) is -2