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Popular >

simplify log_{b}(z^5x)

Solution

simplify

lo g_{b} (z^{5} x)

Solution

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

Solution steps

lo g_{b} (z^{5} x)

Apply log rule:

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

lo g_{b} (z^{5} x) = lo g_{b} (z^{5}) + lo g_{b} (x)

= lo g_{b} (z^{5}) + lo g_{b} (x)

Simplify

lo g_{b} (z^{5}) : 5 lo g_{b} (z)

= 5 lo g_{b} (z) + lo g_{b} (x)

Popular Examples

simplify log_{10}(x)-8log_{10}(y)+9log_{10}(z)simplify

lo g_{10} (x) - 8 lo g_{10} (y) + 9 lo g_{10} (z)

simplify log_{10}(7a)+log_{10}(6b)simplify

lo g_{10} (7 a) + lo g_{10} (6 b)

simplify 3(log_{7}(x)+3log_{7}(y)-4log_{7}(z))simplify

3 (lo g_{7} (x) + 3 lo g_{7} (y) - 4 lo g_{7} (z))

simplify 2ln(x)+4ln(y)-5ln(z)simplify

2 ln (x) + 4 ln (y) - 5 ln (z)

expand log_{4}(5xy)expand

lo g_{4} (5 x y)

Frequently Asked Questions (FAQ)

What is log_{b}(z^5x) ?
The solution to log_{b}(z^5x) is 5log_{b}(z)+log_{b}(x)