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Solve for x: log_3 x = –2 - Mathematics

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Question

Solve for x:

log3 x = –2

Sum
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Solution

Given: log3 x = –2

Step-wise calculation:

1. Convert to exponential form:

x = 3–2

2. Evaluate the power:

`3^(-2) = 1/3^2`

`3^(-2) = 1/9`

⇒ `x = 1/9`

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

APPEARS IN

Nootan Mathematics [English] Class 9 ICSE
Chapter 7 Logarithms
Exercise 7A | Q 5. (iv) | Page 140
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