What is 2(log_{7}(x)+3log_{7}(y)-5log_{7}(z)) ?

The solution to 2(log_{7}(x)+3log_{7}(y)-5log_{7}(z)) is 2log_{7}((xy^3)/(z^5))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2(log_{7}(x)+3log_{7}(y)-5log_{7}(z))

simplify

2 (lo g_{7} (x) + 3 lo g_{7} (y) - 5 lo g_{7} (z))

2 lo g_{7} (\frac{x y ^{3}}{z ^{5}})

Solution steps

2 (lo g_{7} (x) + 3 lo g_{7} (y) - 5 lo g_{7} (z))

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

3 lo g_{7} (y) = lo g_{7} (y^{3})

= 2 (lo g_{7} (x) + lo g_{7} (y^{3}) - 5 lo g_{7} (z))

Apply log rule:

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

lo g_{7} (x) + lo g_{7} (y^{3}) = lo g_{7} (x y^{3})

= 2 (lo g_{7} (x y^{3}) - 5 lo g_{7} (z))

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

5 lo g_{7} (z) = lo g_{7} (z^{5})

= 2 (- lo g_{7} (z^{5}) + lo g_{7} (x y^{3}))

Apply log rule:

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

lo g_{7} (x y^{3}) - lo g_{7} (z^{5}) = lo g_{7} (\frac{x y ^{3}}{z ^{5}})

= 2 lo g_{7} (\frac{x y ^{3}}{z ^{5}})

4.18 \cdot ln (\frac{343.15}{278.15})

ln (2 \cdot ln (4))

\frac{1}{0.76} ln (\frac{29.41}{14.705})

lo g_{a} (\frac{a ^{x} e ^{- a}}{x !})

lo g_{10} (θ^{x} (1 - θ)^{1 - x})

What is 2(log_{7}(x)+3log_{7}(y)-5log_{7}(z)) ?
The solution to 2(log_{7}(x)+3log_{7}(y)-5log_{7}(z)) is 2log_{7}((xy^3)/(z^5))