Find X in the Following When: Log 8 X = 2 3 - Mathematics

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

Sum

log ₈ x = `(2)/(3)`

⇒ x = `8^(2/3)`
⇒ x³ = 8² = 64 = 4³
∴ x = 4.

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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 3.04

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

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

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

Find x in the following when: log ₃ 243 = x

Find x in the following when: log ₁₀ 0.0001 = x

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

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

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

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