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

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 7: Logarithms - Exercise 10.1

Chapter 7 Logarithms
Exercise 10.1 | Q 3.04

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

Express the following in the exponential form:
q = log_a p

Find the value of: log ₈ 2

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

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

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

If log ₁₀ m = n, express the following in terms of m: 10^{n -1}

If log ₁₀ x = a, log ₁₀ y = b and log ₁₀ z = 2a - 3b, express z in terms of x and y.

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

State true or false in the following:
If log ₁₀ 100 = 2, then 10² = 100