Question

solve the logarithmic equation. be sure to reject any value of x that is not in the domain of the orginal logarithmic expression.

In square root of x+2=2 (If I try to make the square root sign it will not come out right so I wrote it out instead)

What is the exact solution.

A. The solution set is {?}

B. There are infinitely many solutions?

c. There are no solutions?

Answer 1

sqrt(x+2) = 2. sqrt means Square Root.
Square both sides:
x + 2 = 4
X = 2.

Answer 2

Correction:
Ln sqrt(x+2) = 2.

Exponential form:
sqrt(x+2) = e^2
Square both sides:
x + 2 = e^4
X = e^4 - 2.

X = 54.60 - 2 = 52.60.