What is the answer to ln(x+7)-2ln(x+1)=ln(16) ?

The answer to ln(x+7)-2ln(x+1)=ln(16) is x=(-31+sqrt(385))/(32)

Solve for x: ln(x+7)-2ln(x+1)=ln(16)

The solution is x=(-31+sqrt(385))/(32)

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ln (x + 7) - 2 ln (x + 1) = ln (16)

x = \frac{- 31 + 385}{32}

Solution steps

ln (x + 7) - 2 ln (x + 1) = ln (16)

Apply log rules

x + 7 = 16 (x + 1)^{2}

Solve

x + 7 = 16 (x + 1)^{2} : x = \frac{- 31 + 385}{32}, x = \frac{- 31 - 385}{32}

x = \frac{- 31 + 385}{32}, x = \frac{- 31 - 385}{32}

Verify Solutions:

x = \frac{- 31 + 385}{32}

True

, x = \frac{- 31 - 385}{32}

False

The solution is

x = \frac{- 31 + 385}{32}

36 = 4 ln (x - 1)

lo g_{10} (a) = 1.83

ln (\frac{( t - 20 )}{200}) = - 0.11 t

lo g_{x} (3) = e^{2}

5 = 1 + 3.32 lo g_{10} (x)

What is the answer to ln(x+7)-2ln(x+1)=ln(16) ?
The answer to ln(x+7)-2ln(x+1)=ln(16) is x=(-31+sqrt(385))/(32)
Solve for x: ln(x+7)-2ln(x+1)=ln(16)
The solution is x=(-31+sqrt(385))/(32)