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Popular >

simplify log_{b}(y^4z)

Solution

simplify

lo g_{b} (y^{4} z)

Solution

4 lo g_{b} (y) + lo g_{b} (z)

Solution steps

lo g_{b} (y^{4} z)

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{b} (y^{4} z) = lo g_{b} (y^{4}) + lo g_{b} (z)

= lo g_{b} (y^{4}) + lo g_{b} (z)

Simplify

lo g_{b} (y^{4}) : 4 lo g_{b} (y)

= 4 lo g_{b} (y) + lo g_{b} (z)

Popular Examples

simplify log_{10}((x^2y^3)/(100))simplify

lo g_{10} (\frac{x ^{2} y ^{3}}{100})

simplify-4/7*log_{2}(4/7)-3/7*log_{2}(3/7)simplify

- \frac{4}{7} \cdot lo g_{2} (\frac{4}{7}) - \frac{3}{7} \cdot lo g_{2} (\frac{3}{7})

simplify log_{5}(((\frac{5x)/(x+2))}{x+6}*x)simplify

lo g_{5} (\frac{( \frac{5 x}{x + 2} )}{x + 6} \cdot x)

simplify-log_{10}(7.1*10^{-4})simplify

- lo g_{10} (7.1 \cdot 1 0^{- 4})

simplify ln(1/(-1))simplify

ln (\frac{1}{- 1})

Frequently Asked Questions (FAQ)

What is log_{b}(y^4z) ?
The solution to log_{b}(y^4z) is 4log_{b}(y)+log_{b}(z)