SOLUTION: Can someone show me how to solve the following 2 questions: 4^x-6=16^x and e^-2x=0.3

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Can someone show me how to solve the following 2 questions: 4^x-6=16^x and e^-2x=0.3      Log On


   

Question 170203: Can someone show me how to solve the following 2 questions:
4^x-6=16^x
and
e^-2x=0.3
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
4%5E%28x-6%29=16%5E%28x%29
4%5E%28x-6%29=%284%5E2%29%5E%28x%29
4%5E%28x-6%29=4%5E%282x%29
x-6=2x
x=-6
.
.
.
e%5E%28-2x%29=0.3
-2x=ln%280.3%29
x=-ln%280.3%29%2F2
or approximately
x=0.602