en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{10}(1/7)

Solution

simplify

lo g_{10} (\frac{1}{7})

Solution

- lo g_{10} (7)

+1

Decimal Notation

- 0.84509 \dots

Solution steps

lo g_{10} (\frac{1}{7})

\frac{1}{7} = 7^{- 1}

= lo g_{10} (7^{- 1})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x), x > 0

lo g_{10} (7^{- 1}) = - 1 \cdot lo g_{10} (7)

= - 1 \cdot lo g_{10} (7)

Apply rule:

1 \cdot a = a

= - lo g_{10} (7)

Popular Examples

simplify (10y^2+15y)/(35y^2-5y)simplify

\frac{10 y ^{2} + 15 y}{35 y ^{2} - 5 y}

simplify 2/7+1/3 simplify

\frac{2}{7} + \frac{1}{3}

expand (x-3y)^5 expand

(x - 3 y)^{5}

simplify log_{8}(log_{14}(196)-log_{7}(sqrt(7)))simplify

lo g_{8} (lo g_{14} (196) - lo g_{7} (7))

simplify 7(-1+9i)simplify

7 (- 1 + 9 i)

Frequently Asked Questions (FAQ)

What is log_{10}(1/7) ?
The solution to log_{10}(1/7) is -log_{10}(7)