Find the Value Of: Log 0.1 10

Find the value of: log _0.1 10

Sum

log _0.1 10
Let log _0.1 10 = x
⇒ 0.1^x = 10
⇒ (10^-1)^x = 10¹
⇒ x = -1
∴ -x = 1.

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 4.15

Express the following in the exponential form:

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

Find x in the following when: log_x 125 = 3

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

Find the value of: log ₁₀ 0.0001

Find the value of: log ₅`(1)/(25)`

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

If log ₁₀ x = a, express the following in terms of x : 10 ^2a

If log ₁₀ x = a, express the following in terms of x: 10 ^{a + 3}

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

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