# How do you solve #2^(x+1) = 3^x#?

##### 1 Answer

Feb 26, 2016

Convert to logarithmic form.

#### Explanation:

Simplify using the rule

Distribute on the left side. Don't forget you cannot multiply directly a log with a non-log (e.g

Put the x's to one side of the equation.

Simplify the right side of the equation further by using the rule

You will want to ask your teacher if he/she wants the answer in exact form or rounded off. Just make sure to check.

**Practice exercises:**

- Solve for x. Leave answers in exact form.

a)

b).

**Challenge problem**

Find the value of x in