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Popular >

expand log_{2}(y^x)

Solution

expand

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

Solution

x lo g_{2} (y)

Solution steps

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

Apply log rule:

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

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

= x lo g_{2} (y)

Popular Examples

simplify 1/2 log_{a}(x)+4log_{a}(y)-3log_{a}(x)simplify

\frac{1}{2} lo g_{a} (x) + 4 lo g_{a} (y) - 3 lo g_{a} (x)

simplify ln(x)+ln(17)simplify

ln (x) + ln (17)

simplify 1/2 ln(x)+3[ln(x-1)-2/9 ln(x+1)]simplify

\frac{1}{2} ln (x) + 3 [ln (x - 1) - \frac{2}{9} ln (x + 1)]

simplify log_{b}(28)-log_{b}(7)simplify

lo g_{b} (28) - lo g_{b} (7)

expand log_{10}((z^5)/(ysqrt(x^3)))expand

lo g_{10} (\frac{z ^{5}}{y x ^{3}})

Frequently Asked Questions (FAQ)

What is expand log_{2}(y^x) ?
The solution to expand log_{2}(y^x) is xlog_{2}(y)