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Popular >

simplify log_{10}(3x^5)

Solution

simplify

lo g_{10} (3 x^{5})

Solution

lo g_{10} (3) + 5 lo g_{10} (x)

Solution steps

lo g_{10} (3 x^{5})

Apply log rule:

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

lo g_{10} (3 x^{5}) = lo g_{10} (3) + lo g_{10} (x^{5})

= lo g_{10} (3) + lo g_{10} (x^{5})

Simplify

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

= lo g_{10} (3) + 5 lo g_{10} (x)

Popular Examples

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expand log_{4}((16)/y)expand

lo g_{4} (\frac{16}{y})

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lo g_{10} (\frac{y}{x ^{4} z ^{5}})

Frequently Asked Questions (FAQ)

What is log_{10}(3x^5) ?
The solution to log_{10}(3x^5) is log_{10}(3)+5log_{10}(x)