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Popular >

expand log_{5}(125x^3)

Solution

expand

lo g_{5} (125 x^{3})

Solution

3 + 3 lo g_{5} (x)

Solution steps

lo g_{5} (125 x^{3})

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

lo g_{5} (125 x^{3}) = lo g_{5} (125) + lo g_{5} (x^{3})

= lo g_{5} (125) + lo g_{5} (x^{3})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

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

= lo g_{5} (125) + 3 lo g_{5} (x)

lo g_{5} (125) = 3

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

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Frequently Asked Questions (FAQ)

What is expand log_{5}(125x^3) ?
The solution to expand log_{5}(125x^3) is 3+3log_{5}(x)