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Popular >

expand log_{b}(yz^2)

Solution

expand

lo g_{b} (y z^{2})

Solution

lo g_{b} (y) + 2 lo g_{b} (z)

Solution steps

lo g_{b} (y z^{2})

Apply log rule:

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

lo g_{b} (y z^{2}) = lo g_{b} (y) + lo g_{b} (z^{2})

= lo g_{b} (y) + lo g_{b} (z^{2})

Apply log rule:

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

lo g_{b} (z^{2}) = 2 lo g_{b} (z)

= lo g_{b} (y) + 2 lo g_{b} (z)

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Frequently Asked Questions (FAQ)

What is expand log_{b}(yz^2) ?
The solution to expand log_{b}(yz^2) is log_{b}(y)+2log_{b}(z)