Find the Value of : Log 5 3125

Find the value of: log ₅ 3125

Sum

log ₅ 3125
Let log ₅ 3125
⇒ 5^x = 3125
⇒ 5^x = 5⁵
∴ x = 5.

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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 4.03

Express the following in the exponential form:
log₅ a = 3

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

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

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

Find the value of: log ₅`(1)/(25)`

Find the value of: log ₂ 8

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

If Iog ₁₀a = x, log₁₀ b = y and log ₁₀ c = z, find
10^{3y -1} in terms of b

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 p = q, then 10^p = q