What is the value of log_5(25) + log_5(4)? (2021)

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Question: What is the value of log_5(25) + log_5(4)? (2021)

Options:

Correct Answer: 4

Exam Year: 2021

Solution:

log_5(25) = 2, so log_5(25) + log_5(4) = 2 + log_5(4).

What is the value of log_5(25) + log_5(4)? (2021)

What is the value of log_5(25) + log_5(4)? (2021)

Step 1: Identify the logarithm we need to calculate: log_5(25) + log_5(4).
Step 2: Calculate log_5(25). Since 25 is 5 squared (5^2), we know that log_5(25) = 2.
Step 3: Now substitute the value of log_5(25) into the equation: 2 + log_5(4).
Step 4: The final expression is 2 + log_5(4). We cannot simplify log_5(4) further without a calculator, so we leave it as is.

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