Solve each equation for x. (a) e7 − 4x = 2 (b) ln(3x − 14) = 3

Question

Solve each equation for x.

(a)    e^7 − 4x = 2

(b)    ln(3x − 14) = 3

Answer 1

e^(7-4x) = 2

7-4x = ln2

4x = 7-ln2

x = (7-ln2)/4 = about 1.577

ln(3x-14) = 3

3x-14 = e^3

3x = 14+e^3

x = (14+e^3)/3 = about 11.362