What is expand log_{5}(25(x+y)^5) ?

The solution to expand log_{5}(25(x+y)^5) is 2+5log_{5}(x+y)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand log_{5}(25(x+y)^5)

expand

lo g_{5} (25 (x + y)^{5})

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

Solution steps

lo g_{5} (25 (x + y)^{5})

Apply log rule:

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

lo g_{5} (25 (x + y)^{5}) = lo g_{5} (25) + lo g_{5} ((x + y)^{5})

= lo g_{5} (25) + lo g_{5} ((x + y)^{5})

Apply log rule:

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

lo g_{5} ((x + y)^{5}) = 5 lo g_{5} (x + y)

= lo g_{5} (25) + 5 lo g_{5} (x + y)

lo g_{5} (25) = 2

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

ln (\frac{x ^{2} + 1}{( x + 3 ) ( x - 2 )})

- \frac{1}{0.07} ln (\frac{1}{100})

182000 \cdot [ln (0.77) - ln (1.3)]

ln (\frac{4 y ^{5}}{x ^{2}})

- lo g_{10} (2.9 \cdot 1 0^{- 3})

What is expand log_{5}(25(x+y)^5) ?
The solution to expand log_{5}(25(x+y)^5) is 2+5log_{5}(x+y)