What is 2log_{5}(-6log_{5}(y)) ?

The solution to 2log_{5}(-6log_{5}(y)) is 2log_{5}(6)+2log_{5}(log_{5}(y))

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simplify 2log_{5}(-6log_{5}(y))

simplify

2 lo g_{5} (- 6 lo g_{5} (y))

2 lo g_{5} (6) + 2 lo g_{5} (lo g_{5} (y))

Solution steps

2 lo g_{5} (- 6 lo g_{5} (y))

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

2 lo g_{5} (- 6 lo g_{5} (y)) = 2 lo g_{5} (6) + 2 lo g_{5} (lo g_{5} (y))

= 2 lo g_{5} (6) + 2 lo g_{5} (lo g_{5} (y))

ln (\frac{1}{1 - e ^{- x}} e^{- x})

12 (ln ∣ (4) + 2 ∣ - ln ∣ (4) + 3 ∣) + C

y [ln (2 y) - ln (1 - 2 y)] - y [ln (y) - ln (1 - y)]

ln (\frac{60}{120})

ln (- 4.2664 \cdot 1 0^{-} 6)

What is 2log_{5}(-6log_{5}(y)) ?
The solution to 2log_{5}(-6log_{5}(y)) is 2log_{5}(6)+2log_{5}(log_{5}(y))