# Mathematical Proofs Made Fun!

## What expression is missing from the proof?

Which expression is missing from the proof for the power property of logarithms?

## Answer:

a

**Explanation:**

The missing expression in the proof is: [tex]\log_b((b^{xy})[/tex]

**Proofs** are used to confirm or disprove **mathematical statements**

The missing **expression** in the **proof** is: [tex]\log_b((b^{xy})[/tex]

### How to complete the proof

From the question, the first two steps are:

[tex]\log_b(M^y)[/tex]

[tex]\log_b((b^x)^y)[/tex]

By the **properties of exponents**, we have:

[tex]\log_b((b^{xy})[/tex]

The above **expression** represents the missing **expression** in the **proof** of the **logarithmic expression**

Hence, the missing **expression** is: [tex]\log_b((b^{xy})[/tex]