What is expand log_{b}((25)/(sqrt(x+7))) ?

The solution to expand log_{b}((25)/(sqrt(x+7))) is 2log_{b}(5)-log_{b}(sqrt(x+7))

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expand log_{b}((25)/(sqrt(x+7)))

expand

lo g_{b} (\frac{25}{x + 7})

2 lo g_{b} (5) - lo g_{b} (x + 7)

Solution steps

lo g_{b} (\frac{25}{x + 7})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{b} (\frac{25}{x + 7}) = lo g_{b} (25) - lo g_{b} (x + 7)

= lo g_{b} (25) - lo g_{b} (x + 7)

lo g_{b} (25) = 2 lo g_{b} (5)

= 2 lo g_{b} (5) - lo g_{b} (x + 7)

ln ((4 x^{2} + 3) (2 x - 1))

ln (1) - \frac{1}{8} (ln (\frac{17}{4} + 2) + ln (\frac{17}{4}))

ln (x + 6) + ln (x + 1)

ln (1 + 3 x) - ln (1 - x)

- lo g_{10} (2.645 \cdot 1 0^{- 6})

What is expand log_{b}((25)/(sqrt(x+7))) ?
The solution to expand log_{b}((25)/(sqrt(x+7))) is 2log_{b}(5)-log_{b}(sqrt(x+7))