Find the Value Of: Log 10 1000

Find the value of: log ₁₀ 1000

Sum

log₁₀ 1000
Let log₁₀1000 = x
⇒ 10^x = 1000
⇒ 10^x = 10³
∴ 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 4.01

Express the following in the exponential form:
log₁₀ 0.001 = -3

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

Express the following in the exponential form:

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

Find x in the following when: log _x 49 = 2

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

Find x in the following when: log ₂ 0.5 = x

Find the value of: log ₃ 81

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

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