Question

The proof for the power property of logarithms appears in the table with an expression missing. Step reason mc027-1. Jpg given mc027-2. Jpg substitution properties of exponents mc027-3. Jpg logarithm property mc027-4. Jpg mc027-5. Jpg substitution mc027-6. Jpg commutative property of multiplication which expression is missing from the proof?.

Answer 1

Proofs are used to confirm or disprove mathematical statements

The missing expression in the proof is : $\log_b((b^{xy})$

How to complete the proof

From the question, the first two steps are:

$\log_b(M^y)$

$\log_b((b^x)^y)$

By the properties of exponents, we have:

$\log_b((b^{xy})$

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

Hence, the missing expression is : $\log_b((b^{xy})$

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