Find the Value Of: Log 5 125

Find the value of: log ₅ 125

Sum

log ₅ 125
Let log ₅ 125 = x
⇒ 125 = 5^x
⇒ 5^x = 5³
∴ x = 3.

shaalaa.com

Interchanging Logarithmic and Exponential Forms - Logarithmic to Exponential

Is there an error in this question or solution?

Chapter 7: Logarithms - Exercise 10.1

Chapter 7 Logarithms
Exercise 10.1 | Q 4.07

Express the following in the exponential form:
log₂ 128 = 7

Express the following in the exponential form:

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

Find x in the following when: log ₄ 0.0625 = x

Find the value of: log ₃ 81

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

If log ₁₀ x = p, express the following in terms of x: 10^2-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 Iog ₁₀a = x, log₁₀ b = y and log ₁₀ c = z, find
10^2x-3in term of a

State true or false in the following:
If log ₁₀ p = q, then 10^p = q