Homework Help: calculus

Posted by Brock on Tuesday, January 1, 2013 at 9:11am.

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

calculus - Reiny, Tuesday, January 1, 2013 at 9:48am
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

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