Question

solve for the following exponetial equation.

1.4^x=(0.5)^-x

What is the exact answer?

A. x=
b. There is no solution.

Answer 1

(1.4)^x = (0.5)^-x.

Take Log of both sides:
x*Log1.4 = -x*Log(0.5)
x*Log1.4 + x*Log(0.5) = 0
X(Log1.4+Log(0.5)) = 0
X*Log(1.4*0.5) = 0
X*Log(0.7) = 0
X = 0 / Log(0.7) = 0.