What is log_{7}(xsqrt(y)) ?

The solution to log_{7}(xsqrt(y)) is log_{7}(x)+log_{7}(sqrt(y))

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simplify log_{7}(xsqrt(y))

simplify

lo g_{7} (x y)

lo g_{7} (x) + lo g_{7} (y)

Solution steps

lo g_{7} (x y)

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{7} (x y) = lo g_{7} (x) + lo g_{7} (y)

= lo g_{7} (x) + lo g_{7} (y)

lo g_{4} (2) + lo g_{4} (x) + lo g_{4} (y^{2})

lo g_{4} (3) + lo g_{4} (8)

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

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

ln (x) + ln (17)

What is log_{7}(xsqrt(y)) ?
The solution to log_{7}(xsqrt(y)) is log_{7}(x)+log_{7}(sqrt(y))