en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand log_{8}(1/625)

Solution

expand

lo g_{8} (\frac{1}{625})

Solution

- 4 lo g_{8} (5)

+1

Decimal Notation

- 3.09590 \dots

Solution steps

lo g_{8} (\frac{1}{625})

Apply log rule:

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

lo g_{8} (\frac{1}{625}) = lo g_{8} (1) - lo g_{8} (625)

= lo g_{8} (1) - lo g_{8} (625)

Apply log rule:

lo g_{a} (1) = 0

= 0 - lo g_{8} (625)

0 - lo g_{8} (625) = - lo g_{8} (625)

= - lo g_{8} (625)

Simplify

lo g_{8} (625) : 4 lo g_{8} (5)

= - 4 lo g_{8} (5)

Popular Examples

simplify ln((9.96087)/(0.46087))simplify

ln (\frac{9.96087}{0.46087})

simplify ln(-1.2*10^4)simplify

ln (- 1.2 \cdot 1 0^{4})

simplify ln((sin(x))/y)simplify

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

simplify ln(11)-ln(8)simplify

ln (11) - ln (8)

expand log_{7}(11sqrt(3*8))expand

lo g_{7} (11 3 \cdot 8)

Frequently Asked Questions (FAQ)

What is expand log_{8}(1/625) ?
The solution to expand log_{8}(1/625) is -4log_{8}(5)