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

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

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

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

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

ln (x) - ln (p)

ln (0.019 \cdot 1.78108)

ln (4 e^{1})

lo g_{6} (\frac{5}{12 x})

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