Find X in the Following When: Log 4 0.0625 = X - Mathematics

Find x in the following when: log ₄ 0.0625 = x

Sum

log ₄ 0.0625 = x
⇒ 0.0625 = 4^x
⇒ 4^x = 4^-2
∴ x = -2.

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Interchanging Logarithmic and Exponential Forms - Logarithmic to Exponential

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Chapter 10: Logarithms - Exercise 10.1

Chapter 10 Logarithms
Exercise 10.1 | Q 3.1

Express the following in the exponential form:
log₃ 81 = 4

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`"log"_sqrt(3)` 27 = 6

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`"log"_25 sqrt(5) = (1)/(4)`

Express the following in the exponential form:
`"log"_sqrt(6) (6sqrt(6))` = 3

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