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