# How do you solve #4^x = 1/2#?

##### 2 Answers

#### Answer:

#### Explanation:

Take the natural logarithm of both sides of the equation

Rewrite using properties of exponents

#### Answer:

**Alternate answer:**

#### Explanation:

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:

**Practice exercises:**

- Solve for x.

**Challenge Problem:**

Solve for x in the equation

Good luck!