Question
Download Solution PDFIf log a + log b + log c = 0 then what is the value of abc?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Formula of Logarithms:
Properties of Logarithms:
Calculation:
Given: log a + log b + log c = 0.
Using the product rule of logarithm, we get,
log a + log b + log c = log (ab) + log c = 0
log (abc) = 0
As we know that, log 1 = 0
⇒ log (abc) = log 1
Cancelling the log on both sides we get,
⇒ abc = 1
Hence, the value of abc is 1.
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