What is log_{10}(7a)+log_{10}(6b) ?

The solution to log_{10}(7a)+log_{10}(6b) is log_{10}(42ab)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{10}(7a)+log_{10}(6b)

simplify

lo g_{10} (7 a) + lo g_{10} (6 b)

lo g_{10} (42 ab)

Solution steps

lo g_{10} (7 a) + lo g_{10} (6 b)

Apply log rule:

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

lo g_{10} (7 a) + lo g_{10} (6 b) = lo g_{10} (7 a \cdot 6 b)

= lo g_{10} (7 a \cdot 6 b)

Simplify

7 a \cdot 6 b : 42 ab

= lo g_{10} (42 ab)

3 (lo g_{7} (x) + 3 lo g_{7} (y) - 4 lo g_{7} (z))

2 ln (x) + 4 ln (y) - 5 ln (z)

lo g_{4} (5 x y)

lo g_{b} (x^{2} y^{3})

- \frac{1}{2} ln ∣ x + 1 ∣ + \frac{1}{2} ln ∣ x - 1 ∣

What is log_{10}(7a)+log_{10}(6b) ?
The solution to log_{10}(7a)+log_{10}(6b) is log_{10}(42ab)