What is log_{x}((sqrt(a+2))/(\sqrt[3]{a+3)}) ?

The solution to log_{x}((sqrt(a+2))/(\sqrt[3]{a+3)}) is log_{x}(sqrt(a+2))-log_{x}(\sqrt[3]{a+3})

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simplify log_{x}((sqrt(a+2))/(\sqrt[3]{a+3)})

simplify

Solution steps

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

5 lo g_{10} (x) + 6 lo g_{10} (y)

ln (6) - ln (3) + ln (2 x)

lo g_{3} (\frac{3 a}{b c})

5 ln (x) + \frac{1}{2} ln (y)

lo g_{10} (2^{2}) + lo g_{10} (3^{3})

What is log_{x}((sqrt(a+2))/(\sqrt[3]{a+3)}) ?
The solution to log_{x}((sqrt(a+2))/(\sqrt[3]{a+3)}) is log_{x}(sqrt(a+2))-log_{x}(\sqrt[3]{a+3})