If log_a(b) = p and log_a(c) = q, then log_a(bc) is equal to?
Practice Questions
Q1
If log_a(b) = p and log_a(c) = q, then log_a(bc) is equal to?
p + q
pq
p - q
p/q
Questions & Step-by-Step Solutions
If log_a(b) = p and log_a(c) = q, then log_a(bc) is equal to?
Correct Answer: p + q
Step 1: Understand that log_a(b) = p means that a raised to the power of p equals b.
Step 2: Understand that log_a(c) = q means that a raised to the power of q equals c.
Step 3: Recall the logarithmic property that states log_a(bc) = log_a(b) + log_a(c).
Step 4: Substitute the values from Step 1 and Step 2 into the property: log_a(bc) = p + q.
Step 5: Conclude that log_a(bc) is equal to p + q.
Logarithmic Properties – This question tests the understanding of the properties of logarithms, specifically the product rule which states that the logarithm of a product is the sum of the logarithms.
