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 x+7=2
what is the exact solution?
a.)the solution set is ?
b.)there are infinitely many solutions
c.)there is no solution

Answer 1

looks like

ln (x+7)^(1/2) = 2 , clearly x > -7
(x+7)^(1/2) = e^2
square both sides
x+7 = e^4
x = e^4 - 7 = appr 47.598