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Evaluate the following by converting into exponential form: log_5 625 - Mathematics

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Question

Evaluate the following by converting into exponential form:

log5 625

Evaluate
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Solution

Given: log5 625

Step-wise calculation:

1. Let log5 625 = x.

2. Convert to exponential form: 5x = 625.

3. Write 625 as a power of 5: 625 = 54.

4. Therefore 5x = 54 ⇒ x = 4.

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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 4. (i) | Page 140
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