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

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

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

simplify

lo g_{x} (\frac{a + 2}{a + 3})

lo g_{x} (a + 2) - lo g_{x} (a + 3)

Solution steps

lo g_{x} (\frac{a + 2}{a + 3})

Apply log rule:

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

lo g_{x} (\frac{a + 2}{a + 3}) = lo g_{x} (a + 2) - lo g_{x} (a + 3)

= lo g_{x} (a + 2) - lo g_{x} (a + 3)

lo g_{10} (2) + lo g_{10} (\frac{3}{2})

lo g_{6} (3 x^{4})

lo g_{10} (y) - lo g_{10} (2)

- lo g_{10} (2.95 \cdot 1 0^{- 4})

lo g_{10} (\frac{x}{q ( z - 9 ) ^{2}})

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