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Given log 2 = a, log 3 = b, express the following in terms of a or b or both. log 0.5 - Mathematics

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Question

Given log 2 = a, log 3 = b, express the following in terms of a or b or both.

log 0.5

Sum
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Solution

We are given:

  • log 2 = a
  • log 3 = b

We need to express:

log 0.5

Step 1: Express 0.5 as a fraction

`0.5 = 1/2`

So:

`log 0.5 = log (1/2) = - log 2`

log 0.5 = – a

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Chapter 7: Logarithms - EXERCISE 7B [Page 75]

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B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 7 Logarithms
EXERCISE 7B | Q 7. (i). (d) | Page 75
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