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Popular >

simplify log_{b}(x^4z)

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

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

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

Popular Examples

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})

simplify-1/5 log_{2}(1/5)-4/5 log_{2}(4/5)simplify

- \frac{1}{5} lo g_{2} (\frac{1}{5}) - \frac{4}{5} lo g_{2} (\frac{4}{5})

expand log_{b}((x+3)^{1/2})(2x)expand

lo g_{b} ((x + 3)^{\frac{1}{2}}) (2 x)

simplify 8log_{10}(a)+log_{10}(d)simplify

8 lo g_{10} (a) + lo g_{10} (d)

Frequently Asked Questions (FAQ)

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