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If log_a(b) = p and log_a(c) = q, then log_a(bc) is equal to?
If log_a(b) = p and log_a(c) = q, then log_a(bc) is equal to?
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Practice Questions
1 question
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
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log_a(bc) = log_a(b) + log_a(c) = p + q.
Questions & Step-by-step Solutions
1 item
Q
Q: If log_a(b) = p and log_a(c) = q, then log_a(bc) is equal to?
Solution:
log_a(bc) = log_a(b) + log_a(c) = p + q.
Steps: 5
Show Steps
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.
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