What is log_{10}(4)+2log_{10}(3)-log_{10}(6) ?

The solution to log_{10}(4)+2log_{10}(3)-log_{10}(6) is log_{10}(6)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{10}(4)+2log_{10}(3)-log_{10}(6)

simplify

lo g_{10} (4) + 2 lo g_{10} (3) - lo g_{10} (6)

lo g_{10} (6)

Decimal Notation

0.77815 \dots

Solution steps

lo g_{10} (4) + 2 lo g_{10} (3) - lo g_{10} (6)

Apply log rule:

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

2 lo g_{10} (3) = lo g_{10} (3^{2})

= lo g_{10} (4) + lo g_{10} (3^{2}) - lo g_{10} (6)

Apply log rule:

lo g_{a} (x) + lo g_{a} (y) = lo g_{a} (x y)

lo g_{10} (4) + lo g_{10} (3^{2}) = lo g_{10} (4 \cdot 3^{2})

= lo g_{10} (4 \cdot 3^{2}) - lo g_{10} (6)

Apply log rule:

lo g_{a} (x) - lo g_{a} (y) = lo g_{a} (\frac{x}{y})

lo g_{10} (4 \cdot 3^{2}) - lo g_{10} (6) = lo g_{10} (\frac{4 \cdot 3 ^{2}}{6})

= lo g_{10} (\frac{4 \cdot 3 ^{2}}{6})

\frac{4 \cdot 3 ^{2}}{6} = 6

= lo g_{10} (6)

lo g_{b} (x^{2} y^{9} z)

- lo g_{10} (1 x 1 0^{- 11})

lo g_{10} (\frac{z}{y ^{3} x ^{2}})

lo g_{3} (x) - lo g_{3} (4)

lo g_{10} (\frac{x ^{3} y ^{2}}{z})

What is log_{10}(4)+2log_{10}(3)-log_{10}(6) ?
The solution to log_{10}(4)+2log_{10}(3)-log_{10}(6) is log_{10}(6)