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calculus

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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 -

    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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