Express the Following in the Exponential Form: Log 25 √ 5 = 1 4 - Mathematics

Express the following in the exponential form:

`"log"_25 sqrt(5) = (1)/(4)`

Sum

`"log"_25 sqrt(5) = (1)/(4)`

⇒ `sqrt(5) = 25(1)/(4)`.

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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 2.09

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

Find x in the following when: log_x 125 = 3

Find the value of: log ₁₀ 1000

Find the value of: log ₃ 81

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

Find the value of: log ₅ 125

If log ₁₀ m = n, express the following in terms of m: 10 ²ⁿ⁺¹

If log ₁₀ x = p, express the following in terms of x: 10^2p-3

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