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Find X in the Following When: Log 8 X = 2 3 - Mathematics

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Question

Find x in the following when: log 8 x = `(2)/(3)`

Sum

Solution

log 8 x = `(2)/(3)`

⇒ x = `8^(2/3)`
⇒ x3 = 82 = 64 = 43
∴ x = 4.

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Interchanging Logarithmic and Exponential Forms - Logarithmic to Exponential
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Chapter 10: Logarithms - Exercise 10.1

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Frank Mathematics [English] Class 9 ICSE
Chapter 10 Logarithms
Exercise 10.1 | Q 3.04
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