# How do you solve #log2x=log4#?

##### 1 Answer

Put the logs to one side and solve using the rule

#### Explanation:

Convert to exponential form. The log is in base 10 because nothing is written in subscript to the right of the log.

You could have done this much easier by just dividing 4 by 2, since the logs are in the same base. However, I did the long way because that method won't work when you have logarithmic equations like b) and c) in the practice exercises.

Note that the rules

**Practice exercises:**

- Solve for x. Round answers to two decimals.

a)

b)

c)

Good luck!