Find the Value Of: Log 1 5 125 = X

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"_2 (1)/(32)` = -5

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

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

Find x in the following when: log _x 243 = 5

Find x in the following when: log ₇ x = 3

Find the value of: log ₂128

Find the value of: log ₁₀ 0.0001

If log ₁₀ m = n, express the following in terms of m: 10 ²ⁿ⁺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