What is expand log_{v}(b^4)+log_{v}(b^9) ?

The solution to expand log_{v}(b^4)+log_{v}(b^9) is 13log_{v}(b)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand log_{v}(b^4)+log_{v}(b^9)

expand

lo g_{v} (b^{4}) + lo g_{v} (b^{9})

13 lo g_{v} (b)

Solution steps

lo g_{v} (b^{4}) + lo g_{v} (b^{9})

Apply log rule:

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

lo g_{v} (b^{4}) = 4 lo g_{v} (b)

= 4 lo g_{v} (b) + lo g_{v} (b^{9})

Apply log rule:

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

lo g_{v} (b^{9}) = 9 lo g_{v} (b)

= 4 lo g_{v} (b) + 9 lo g_{v} (b)

Add similar elements:

4 lo g_{v} (b) + 9 lo g_{v} (b) = 13 lo g_{v} (b)

= 13 lo g_{v} (b)

3 lo g_{c} (z) + 2 (lo g_{c} (2) - 2 lo g_{c} (x))

ln (\frac{500}{z})

\frac{1}{2} ln (\frac{5}{3})

ln (x + y) + ln (x - y) - 2 ln (2)

lo g_{10} ((\frac{a ^{3}}{b})^{5})

What is expand log_{v}(b^4)+log_{v}(b^9) ?
The solution to expand log_{v}(b^4)+log_{v}(b^9) is 13log_{v}(b)