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Popular >

expand log_{2}(3x^4)

Solution

expand

lo g_{2} (3 x^{4})

Solution

lo g_{2} (3) + 4 lo g_{2} (x)

Solution steps

lo g_{2} (3 x^{4})

Apply log rule:

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

lo g_{2} (3 x^{4}) = lo g_{2} (3) + lo g_{2} (x^{4})

= lo g_{2} (3) + lo g_{2} (x^{4})

Apply log rule:

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

lo g_{2} (x^{4}) = 4 lo g_{2} (x)

= lo g_{2} (3) + 4 lo g_{2} (x)

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Frequently Asked Questions (FAQ)

What is expand log_{2}(3x^4) ?
The solution to expand log_{2}(3x^4) is log_{2}(3)+4log_{2}(x)