Find the Value Of: Log 8 2

Find the value of: log ₈ 2

बेरीज

log ₈ 2
Let log ₈ 2 = x
⇒ 2 = 8^x
⇒ (2³)^x = 2
⇒ 2^3x = 2¹
⇒ x = `(1)/(3)`
∴ 3x = 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 4.08

Express the following in the exponential form:

`"log"_2 (1)/(32)` = -5

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

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

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Find the value of: log _0.1 10

If log ₁₀ m = n, express the following in terms of m: 10 ²ⁿ⁺¹

If log ₁₀x = p, express the following in terms of x: 10^p+1

If Iog ₁₀a = x, log₁₀ b = y and log ₁₀ c = z, find
10^{3y -1} in terms of b