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Express the following in logarithmic form. 36^1/2 = 6 - Mathematics

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Question

Express the following in logarithmic form.

`36^(1/2) = 6`

Sum
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Solution

`36^(1/2) = 6`

Taking log36 on both sides,

`log_36 36^(1/2) = log_36 6`

Using the rule log am = m log a,

`1/2 log_36 36 = log_36 6`

Since log36 36 = 1,

`1/2 xx 1 = log_36 6`

∴ `log_36 6 = 1/2`

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Chapter 7: Logarithms - EXERCISE 7A [Page 72]

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B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 7 Logarithms
EXERCISE 7A | Q 1. (v) | Page 72
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