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Express the following in exponential form: log_10 0.0001 = –4 - Mathematics

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Question

Express the following in exponential form:

log10 0.0001 = –4

Sum
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Solution

Given: log10 0.0001 = –4

Step-wise calculation:

By definition logab = c ⇔ ac = b, 

So here 10–4 = 0.0001.

Check:

10–1 = 0.1

10–2 = 0.01

10–3 = 0.001

10–4 = 0.0001

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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. (vi) | Page 140
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