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Popular >

simplify log_{b}(z^4y)

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

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

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

Popular Examples

simplify log_{10}(1000x^4y^6)simplify

lo g_{10} (1000 x^{4} y^{6})

simplify 1+log_{10}(Q)+log_{10}(2)simplify

1 + lo g_{10} (Q) + lo g_{10} (2)

simplify log_{c}((x^{1/2}y^3)/(x^4))simplify

lo g_{c} (\frac{x ^{\frac{1}{2}} y ^{3}}{x ^{4}})

simplify 1/4 log_{b}(x)+3log_{b}(y)-5log_{b}(x)simplify

\frac{1}{4} lo g_{b} (x) + 3 lo g_{b} (y) - 5 lo g_{b} (x)

simplify 2ln(x)-1/3 ln(y)+4ln(z)simplify

2 ln (x) - \frac{1}{3} ln (y) + 4 ln (z)

Frequently Asked Questions (FAQ)

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