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Popular >

simplify log_{10}(x^5z)

Solution

simplify

lo g_{10} (x^{5} z)

Solution

5 lo g_{10} (x) + lo g_{10} (z)

Solution steps

lo g_{10} (x^{5} z)

Apply log rule:

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

lo g_{10} (x^{5} z) = lo g_{10} (x^{5}) + lo g_{10} (z)

= lo g_{10} (x^{5}) + lo g_{10} (z)

Simplify

lo g_{10} (x^{5}) : 5 lo g_{10} (x)

= 5 lo g_{10} (x) + lo g_{10} (z)

Popular Examples

expand log_{10}((sqrt(x))/4)expand

lo g_{10} (\frac{x}{4})

simplify log_{10}(x^2-x-6)-log_{10}(x^2-5x+6)simplify

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simplify 2log_{10}(a)+3log_{10}(b)-4log_{10}(c)simplify

2 lo g_{10} (a) + 3 lo g_{10} (b) - 4 lo g_{10} (c)

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ln (5) + ln (x - 1)

simplify 13.375ln(x/(x-1250))simplify

13.375 ln (\frac{x}{x - 1250})

Frequently Asked Questions (FAQ)

What is log_{10}(x^5z) ?
The solution to log_{10}(x^5z) is 5log_{10}(x)+log_{10}(z)