What is expand log_{10}((4x)^5) ?

The solution to expand log_{10}((4x)^5) is 10log_{10}(2)+5log_{10}(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand log_{10}((4x)^5)

expand

lo g_{10} ((4 x)^{5})

10 lo g_{10} (2) + 5 lo g_{10} (x)

Solution steps

lo g_{10} ((4 x)^{5})

Apply log rule:

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

lo g_{10} ((4 x)^{5}) = 5 lo g_{10} (4 x)

= 5 lo g_{10} (4 x)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

5 lo g_{10} (4 x) = 5 lo g_{10} (4) + 5 lo g_{10} (x)

= 5 lo g_{10} (4) + 5 lo g_{10} (x)

5 lo g_{10} (4) = 10 lo g_{10} (2)

= 10 lo g_{10} (2) + 5 lo g_{10} (x)

- 2 lo g_{b} (x) - 6 lo g_{b} (y) + \frac{1}{7} lo g_{b} (z)

ln ((x^{2} + 1) (x - 1))

lo g_{8} (7 x^{4})

lo g_{9} (u^{2})

lo g_{4} (2 x^{2} + x - 21) - lo g_{4} (x - 3)

What is expand log_{10}((4x)^5) ?
The solution to expand log_{10}((4x)^5) is 10log_{10}(2)+5log_{10}(x)