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Express the following in exponential form: log_2 0.125 = –3 - Mathematics

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Question

Express the following in exponential form:

log2 0.125 = –3

Sum
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Solution

Given: log2 0.125 = –3

Step-wise calculation: 

By definition,

logab = c ⇔ ac = b

Apply:

`2^(–3) = 1 / 2^3`

`2^(–3) = 1/8`

2–3 = 0.125

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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. (iv) | Page 140
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