How do you solve #4^x = 1/2#?
Take the natural logarithm of both sides of the equation
Rewrite using properties of exponents
Rewriting the exponents in a common base:
Don't forget that
Using the exponent property
We can eliminate the bases now and solve the simple linear equation.
Here are a few helpful exponent rules to know when working with harder problems:
- Solve for x.
Solve for x in the equation