Find the Value Of: Log 1 5 125 = X - Mathematics

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

बेरीज

`"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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पाठ 10: Logarithms - Exercise 10.1

पाठ 10 Logarithms
Exercise 10.1 | Q 4.05

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

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

Find the value of: log ₁₀ 0.0001

Find the value of: log ₅`(1)/(25)`

Find the value of: log _aa³

If log ₁₀ m = n, express the following in terms of m: 10 ^-3n

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

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