What is log_{10}((sqrt(c))/(a^4b^4)) ?

The solution to log_{10}((sqrt(c))/(a^4b^4)) is log_{10}(sqrt(c))-4log_{10}(a)-4log_{10}(b)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{10}((sqrt(c))/(a^4b^4))

simplify

lo g_{10} (\frac{c}{a ^{4} b ^{4}})

lo g_{10} (c) - 4 lo g_{10} (a) - 4 lo g_{10} (b)

Solution steps

lo g_{10} (\frac{c}{a ^{4} b ^{4}})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{10} (\frac{c}{a ^{4} b ^{4}}) = lo g_{10} (c) - lo g_{10} (a^{4} b^{4})

= lo g_{10} (c) - lo g_{10} (a^{4} b^{4})

Simplify

lo g_{10} (a^{4} b^{4}) : 4 lo g_{10} (a) + 4 lo g_{10} (b)

= lo g_{10} (c) - (4 lo g_{10} (a) + 4 lo g_{10} (b))

Apply the distributive law:

- (a + b) = - a - b

- (4 lo g_{10} (a) + 4 lo g_{10} (b)) = - 4 lo g_{10} (a) - 4 lo g_{10} (b)

= lo g_{10} (c) - 4 lo g_{10} (a) - 4 lo g_{10} (b)

lo g_{10} (5 x y^{2})

lo g_{10} (\frac{y}{1})

lo g_{6} (\frac{x}{y})

2 (ln (ln (4)) - ln (ln (2)))

lo g_{10} (\frac{z ^{5} y ^{2}}{x ^{4}})

What is log_{10}((sqrt(c))/(a^4b^4)) ?
The solution to log_{10}((sqrt(c))/(a^4b^4)) is log_{10}(sqrt(c))-4log_{10}(a)-4log_{10}(b)