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 10: Logarithms - Exercise 10.1

Chapter 10 Logarithms
Exercise 10.1 | Q 4.15

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

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

Find the value of: log ₁₀ 1000

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

Find the value of: log ₂ 8

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

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

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

If log ₁₀ x = a, log ₁₀ y = b and log ₁₀ z = 2a - 3b, express z in terms of x and y.

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