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

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

Sum

log ₄ x = -4
⇒ x = 4^-4
⇒ x = `(1)/(256)`.

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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 3.06

Express the following in the exponential form:

`"log"_2 (1)/(2)` = -1

Express the following in the exponential form:

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

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

Express the following in the exponential form:
-2 = log₂ 0.25

Find the value of: log ₁₀ 1000

Find the value of: log ₁₀ 0.0001

Find the value of `log_(1/2)16`.

Find the value of: log ₂ 8

Find the value of: log _0.1 10

If log ₁₀ x = a, express the following in terms of x: 10 ^-a