What is expand log_{10}((sqrt(x))/(10000y^4)) ?

The solution to expand log_{10}((sqrt(x))/(10000y^4)) is log_{10}(sqrt(x))-4-4log_{10}(y)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand log_{10}((sqrt(x))/(10000y^4))

expand

lo g_{10} (\frac{x}{10000 y ^{4}})

lo g_{10} (x) - 4 - 4 lo g_{10} (y)

Solution steps

lo g_{10} (\frac{x}{10000 y ^{4}})

Apply log rule:

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

lo g_{10} (\frac{x}{10000 y ^{4}}) = lo g_{10} (x) - lo g_{10} (10000 y^{4})

= lo g_{10} (x) - lo g_{10} (10000 y^{4})

Apply log rule:

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

lo g_{10} (10000 y^{4}) = lo g_{10} (10000) + lo g_{10} (y^{4})

= lo g_{10} (x) - (lo g_{10} (y^{4}) + lo g_{10} (10000))

Apply log rule:

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

lo g_{10} (y^{4}) = 4 lo g_{10} (y)

= lo g_{10} (x) - (lo g_{10} (10000) + 4 lo g_{10} (y))

lo g_{10} (10000) = 4

= lo g_{10} (x) - (4 lo g_{10} (y) + 4)

- (4 + 4 lo g_{10} (y)) : - 4 - 4 lo g_{10} (y)

= lo g_{10} (x) - 4 - 4 lo g_{10} (y)

lo g_{4} (16 x y^{3})

3 ln (2) + 2 ln (3)

lo g_{10} (\frac{x}{4})

- 0.65 lo g_{2} (0.65) - 0.35 lo g_{2} (0.35)

lo g_{3} (9 x^{9}) - 2

What is expand log_{10}((sqrt(x))/(10000y^4)) ?
The solution to expand log_{10}((sqrt(x))/(10000y^4)) is log_{10}(sqrt(x))-4-4log_{10}(y)