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Popular >

expand log_{b}(yz^7)

Solution

expand

lo g_{b} (y z^{7})

Solution

lo g_{b} (y) + 7 lo g_{b} (z)

Solution steps

lo g_{b} (y z^{7})

Apply log rule:

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

lo g_{b} (y z^{7}) = lo g_{b} (y) + lo g_{b} (z^{7})

= lo g_{b} (y) + lo g_{b} (z^{7})

Apply log rule:

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

lo g_{b} (z^{7}) = 7 lo g_{b} (z)

= lo g_{b} (y) + 7 lo g_{b} (z)

Popular Examples

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lo g_{10} (3) + lo g_{10} (8)

simplify log_{2}(4/(sqrt(x+8)))simplify

lo g_{2} (\frac{4}{x + 8})

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ln (a e^{x})

simplify log_{2}(x)-log_{2}(y)simplify

lo g_{2} (x) - lo g_{2} (y)

simplify log_{10}(x/(x-1))simplify

lo g_{10} (\frac{x}{x - 1})

Frequently Asked Questions (FAQ)

What is expand log_{b}(yz^7) ?
The solution to expand log_{b}(yz^7) is log_{b}(y)+7log_{b}(z)