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

Find x in the following when: log_x 125 = 3

बेरीज

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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पाठ 10: Logarithms - Exercise 10.1

पाठ 10 Logarithms
Exercise 10.1 | Q 3.02

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

Express the following in the exponential form:
`"log"_sqrt(3)` 27 = 6

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

Find the value of: log ₅`(1)/(25)`

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

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+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 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 ₁₀ 100 = 2, then 10² = 100