Solve 3*ln(x-3) + 4 = 5

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thilina-g's profile pic

thilina-g | College Teacher | (Level 1) Educator

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3*ln(x-3)+4 = 5

3*ln(x-3) = 5 -4 = 1

ln(x-3) = 1/3

x -3 = e^(1/3)

x = e^(1/3) + 3 = 1.3956 + 3

x = 4.3956

justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

The equation 3*ln(x-3) + 4 = 5 has to be solved

3*ln(x-3) + 4 = 5

=> 3*ln(x-3) = 1

=> ln(x - 3) = 1/3

=> (x - 3) = e^(1/3)

=> x = e^(1/3) + 3

The required solution of the equation is x = e^(1/3) + 3

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