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If log 2 = x and log 3 = y, express the following in terms of x and y. log 36 - Mathematics

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Question

If log 2 = x and log 3 = y, express the following in terms of x and y.

log 36

Sum
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Solution

Given: log 2 = x and log 3 = y

Step-wise calculation:

log 36 = log (22 × 32

= log (22) + log (32

= 2 × log 2 + 2 × log 3 

= 2x + 2y

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Chapter 7: Logarithms - Exercise 7B [Page 146]

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Nootan Mathematics [English] Class 9 ICSE
Chapter 7 Logarithms
Exercise 7B | Q 6. (i) | Page 146
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