What is expand log_{10}((y^3)/(sqrt(2x))) ?

The solution to expand log_{10}((y^3)/(sqrt(2x))) is 3log_{10}(y)-log_{10}(sqrt(2)sqrt(x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand log_{10}((y^3)/(sqrt(2x)))

expand

lo g_{10} (\frac{y ^{3}}{2 x})

3 lo g_{10} (y) - lo g_{10} (2 x)

Solution steps

lo g_{10} (\frac{y ^{3}}{2 x})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{10} (\frac{y ^{3}}{2 x}) = lo g_{10} (y^{3}) - lo g_{10} (2 x)

= lo g_{10} (y^{3}) - lo g_{10} (2 x)

Apply log rule:

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

lo g_{10} (y^{3}) = 3 lo g_{10} (y)

= 3 lo g_{10} (y) - lo g_{10} (2 x)

2 x = 2 x

= 3 lo g_{10} (y) - lo g_{10} (2 x)

ln (\frac{1}{x ^{3}})

lo g_{5} (\frac{x}{25})

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

ln (\frac{e}{13})

lo g_{10} (\frac{x}{1000 y ^{6}})

What is expand log_{10}((y^3)/(sqrt(2x))) ?
The solution to expand log_{10}((y^3)/(sqrt(2x))) is 3log_{10}(y)-log_{10}(sqrt(2)sqrt(x))