Find X in the Following When: Log 2 0.5 = X - Mathematics

Find x in the following when: log ₂ 0.5 = x

बेरीज

log ₂ 0.5 = x
⇒ 2^x = 0.5 = `(1)/(2)`
⇒ 2^x= 2^-1
∴ x = -1.

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Interchanging Logarithmic and Exponential Forms - Logarithmic to Exponential

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पाठ 10: Logarithms - Exercise 10.1

पाठ 10 Logarithms
Exercise 10.1 | Q 3.07

Express the following in the exponential form:
log₂ 128 = 7

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

Express the following in the exponential form:
log₁₀ 0.001 = -3

Express the following in the exponential form:
log₅ a = 3

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 x in the following when: log ₄ 0.0625 = x

Find the value of: log ₃ 81

Find the value of: log ₅`(1)/(25)`

If log ₁₀ x = a, express the following in terms of x: 10^{2a -3}