What is the exact value of x in the exponential equation 2^−3x − 14 = 35?
Solve for x over the real numbers:
2^(-3 x)-14 = 35
Add 14 to both sides:
2^(-3 x) = 49
Take the logarithm base 2 of both sides:
-3 x = (log(49))/(log(2))
Divide both sides by -3:
Answer: |x = -(log(49))/(3 log(2))=-1.87157
