Find the Value Of: Log 8 2

Find the value of: log ₈ 2

Sum

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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Chapter 7: Logarithms - Exercise 10.1

Chapter 7 Logarithms
Exercise 10.1 | Q 4.08

Express the following in the exponential form:

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

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

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

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If log ₁₀ x = p, express the following in terms of x: 10^2-p

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`10^(x-y+z)` in terms of a, b and c

State true or false in the following:
If log ₁₀ p = q, then 10^p = q