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]

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