Find the Value Of: Log 2 8

Find the value of: log ₂ 8

Sum

log ₂ 8
Let log ₂ 8 = x
⇒ 2^x= 8
⇒ 2^x = 2³
∴ 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 4.13

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

Express the following in the exponential form:

`"log"_2 (1)/(2)` = -1

Express the following in the exponential form:
q = log_a p

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

Find the value of `log_(1/2)16`.

Find the value of: log ₅`(1)/(25)`

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

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

If Iog ₁₀a = x, log₁₀ b = y and log ₁₀ c = z, find
10^2x-3in term of a

If log ₁₀ a = x, and log ₁₀ c = z, find
`10^(x-y+z)` in terms of a, b and c