Final answer:
The equation log₄5 + log₄11 should equal log₄55, not log₄44, by the property of logarithms that sums of logs are equal to the log of the product.
Step-by-step explanation:
To solve the equation log₄5 + log₄11 = log₄44, we can use the property of logarithms that states that the sum of the logs is equal to the log of the product of the numbers. Therefore, we can write the equation as log₄(5 × 11) = log₄44. Since 5 × 11 equals 55, and 55 is not equal to 44, the original equation is incorrect as it stands. However, if the equation is meant to be log₄5 + log₄11 = log₄55, then it would be correct due to the property of logarithms.