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Question
Given log 2 = a, log 3 = b, express the following in terms of a or b or both.
log 1.5
Sum
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Solution
We are given:
- log 2 = a
- log 3 = b
We need to express:
log 1.5
Step 1: Write 1.5 as a fraction
`1.5 = 3/2`
So:
`log 1.5 = log (3/2) = log 3 - log 2`
Step 2: Substitute values
log 3 – log 2 = b – a
log 1.5 = b – a
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Chapter 7: Logarithms - EXERCISE 7B [Page 75]
