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Find the value of x in the following: log_x 16 = 4 - Mathematics

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Question

Find the value of x in the following:

logx 16 = 4

Sum
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Solution

To solve logx 16 = 4, convert it to exponential form:

x4 = 16

Now take the 4th root of both sides:

`x = root(4)(16)`

Since 16 = 24, we get:

x = 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 4. (i) | Page 72
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