Find X in the Following When: Log X 125 = 3 - Mathematics

Find x in the following when: log_x 125 = 3

Sum

log_x 125 = 3
⇒ x³ = 125
⇒ x³ = 5³
∴ x = 5.

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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 3.02

Express the following in the exponential form:
log_b a = c

Find x in the following when: log _x 49 = 2

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

Find the value of: log ₅ 125

Find the value of: log ₈ 2

Find the value of: log ₂ 8

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 ^-3n

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