Find the Value Of: Log 1 5 125 = X

Find the value of: `"log" _(1/5) 125` = x

Sum

`"log" _(1/5) 125`

Let `"log"_(1/5) 125` = x

⇒ `(1/5)^x` = 125
⇒ 5^-x= 5³
∴ - x = 3
⇒ x = -3.

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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 4.05

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

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

Find x in the following when: log ₂ 0.5 = x

Find the value of: log ₅ 3125

Find the value of: log ₁₀ 0.0001

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

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

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

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