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Express the following in exponential form: log_4 256 = 4 - Mathematics

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Question

Express the following in exponential form:

log4 256 = 4

Sum
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Solution

Given: log4 256 = 4

Step-wise calculation: 

By definition logb(a) = c ⇔ bc = a. 

So 44 = 256.   ...(Since 44 = (42)2 = 162 = 256)

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Chapter 7: Logarithms - Exercise 7A [Page 140]

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Nootan Mathematics [English] Class 9 ICSE
Chapter 7 Logarithms
Exercise 7A | Q 2. (iii) | Page 140
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