# How do you solve #4^x*3^(2x-x) = 144# for #x# ?

##### 2 Answers

#### Answer:

#### Explanation:

Here's how you can quickly solve this equation.

Use the *power of a power* property of exponents to write

The equation becomes

Now focus on writing the *prime factors* of

This means that you have

This is equivalent to having

#### Answer:

Simplify the equation to

#### Explanation:

So the original equation simplifies to:

Since exponentiation is a one-one function, the only solution is