Find the Value Of: Log 10 0.0001 - Mathematics

Find the value of: log ₁₀ 0.0001

Sum

log ₁₀ 0.0001
Let log ₁₀ 0.0001 = x
⇒ 0.0001 = 10^x
⇒ 10^x = 10^-4
∴ x = -4.

shaalaa.com

Interchanging Logarithmic and Exponential Forms - Logarithmic to Exponential

Is there an error in this question or solution?

Chapter 10: Logarithms - Exercise 10.1

Chapter 10 Logarithms
Exercise 10.1 | Q 4.06

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

Express the following in the exponential form:

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

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

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

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

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

Find the value of: log ₃ 81

Find the value of: `"log_sqrt(3) (3sqrt(3))`

If log ₁₀ m = n, express the following in terms of m: 10^{n -1}

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