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Popular >

expand log_{6}(36x^3)

Solution

expand

lo g_{6} (36 x^{3})

Solution

2 + 3 lo g_{6} (x)

Solution steps

lo g_{6} (36 x^{3})

Apply log rule:

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

lo g_{6} (36 x^{3}) = lo g_{6} (36) + lo g_{6} (x^{3})

= lo g_{6} (36) + lo g_{6} (x^{3})

Apply log rule:

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

lo g_{6} (x^{3}) = 3 lo g_{6} (x)

= lo g_{6} (36) + 3 lo g_{6} (x)

lo g_{6} (36) = 2

= 2 + 3 lo g_{6} (x)

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Frequently Asked Questions (FAQ)

What is expand log_{6}(36x^3) ?
The solution to expand log_{6}(36x^3) is 2+3log_{6}(x)