Question

Find the exact solution for e2x − ex − 110 = 0. If there is no solution, write no solution.

Answer 1

Consider the expression;

e2x – ex – 110 = 0

 

Rewrite the expression as follows:

e2x – ex – 110 + 110 = 110

                         e2x-x = 110

                              ex = 110

Apply the exponent property f(x) = g(x), then ln{f(x)} = ln{g(x)} as follows:

ln(ex) = ln(110)

x = ln(110)

   = 4.7

 

Therefore, the value of ‘x’ is 4.7.

Therefore, the value of ‘x’ is 4.7.