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Popular >

expand log_{b}(xz^3)

Solution

expand

lo g_{b} (x z^{3})

Solution

lo g_{b} (x) + 3 lo g_{b} (z)

Solution steps

lo g_{b} (x z^{3})

Apply log rule:

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

lo g_{b} (x z^{3}) = lo g_{b} (x) + lo g_{b} (z^{3})

= lo g_{b} (x) + lo g_{b} (z^{3})

Apply log rule:

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

lo g_{b} (z^{3}) = 3 lo g_{b} (z)

= lo g_{b} (x) + 3 lo g_{b} (z)

Popular Examples

simplify log_{3}(16)-2*log_{3}(x)+2*log_{3}(y)simplify

lo g_{3} (16) - 2 \cdot lo g_{3} (x) + 2 \cdot lo g_{3} (y)

expand log_{e}(ysqrt(y/(1-y)))expand

lo g_{e} (y \frac{y}{1 - y})

simplify ln(4*5)simplify

ln (4 \cdot 5)

simplify log_{10}(x^2+3x+2)-log_{10}(x+1)simplify

lo g_{10} (x^{2} + 3 x + 2) - lo g_{10} (x + 1)

simplify 2log_{3}(u)+7log_{3}(v)simplify

2 lo g_{3} (u) + 7 lo g_{3} (v)

Frequently Asked Questions (FAQ)

What is expand log_{b}(xz^3) ?
The solution to expand log_{b}(xz^3) is log_{b}(x)+3log_{b}(z)