What is the answer to ln(sqrt(x+1)-x/4)=0 ?

The answer to ln(sqrt(x+1)-x/4)=0 is x=8,x=0

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ln(sqrt(x+1)-x/4)=0

ln (x + 1 - \frac{x}{4}) = 0

x = 8, x = 0

Solution steps

ln (x + 1 - \frac{x}{4}) = 0

Apply log rules

x + 1 - \frac{x}{4} = e^{0}

Multiply both sides by

4

x + 1 \cdot 4 - \frac{x}{4} \cdot 4 = e^{0} \cdot 4

Simplify

4 x + 1 - x = 4

Solve

4 x + 1 - x = 4 : x = 8, x = 0

x = 8, x = 0

Verify Solutions:

x = 8

True

, x = 0

True

The solutions are

x = 8, x = 0

\frac{1}{5} lo g_{10} (x + 2) - 1 = 0

lo g_{10} (6 x) = 216

85 = - 591 lo g_{10} (x)

lo g_{6} (7) - lo g_{6} (2 x) = 1

ln (2 x) = - \frac{1}{10}

What is the answer to ln(sqrt(x+1)-x/4)=0 ?
The answer to ln(sqrt(x+1)-x/4)=0 is x=8,x=0
Solve for x: ln(sqrt(x+1)-x/4)=0
The solution is x=8,x=0