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Popular >

simplify log_{b}(z^2y)

Solution

simplify

lo g_{b} (z^{2} y)

Solution

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

Solution steps

lo g_{b} (z^{2} y)

Apply log rule:

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

lo g_{b} (z^{2} y) = lo g_{b} (z^{2}) + lo g_{b} (y)

= lo g_{b} (z^{2}) + lo g_{b} (y)

Simplify

lo g_{b} (z^{2}) : 2 lo g_{b} (z)

= 2 lo g_{b} (z) + lo g_{b} (y)

Popular Examples

simplify 3log_{10}(4x)simplify

3 lo g_{10} (4 x)

simplify log_{10}(4)+log_{10}(3)simplify

lo g_{10} (4) + lo g_{10} (3)

simplify log_{b}(x^4z)simplify

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

simplify log_{10}(x)+2log_{10}(y)-3log_{10}(x)y simplify

lo g_{10} (x) + 2 lo g_{10} (y) - 3 lo g_{10} (x) y

simplify log_{10}(y/(1000000))simplify

lo g_{10} (\frac{y}{1000000})

Frequently Asked Questions (FAQ)

What is log_{b}(z^2y) ?
The solution to log_{b}(z^2y) is 2log_{b}(z)+log_{b}(y)