The value of log ₁₀ 0.000001 is?

Correct Answer: 16

Explanation:

Exp. = 25 log₅4 = 5² log₅4
= 5 log₅ 4²
= 16

Correct Answer: 101010

Explanation:

If log₁₀{log₁₀[log₁₀(log₁₀N)]} = 0
? log₁₀{log₁₀(log₁₀N)} = 1
? log₁₀(log₁₀N) = 10
? log₁₀^N = 10¹⁰
? N = 10¹⁰¹⁰

Correct Answer: 4

Explanation:

Let log_-1/381 = x
? 81 = (-1/3)^x
? 3⁴ = (-1/3)^x = 3^-x
? x = -4

Correct Answer: None of these

Explanation:

log₁₀xy = z
? xy = 10^z
? x = 10^z/y

Correct Answer: 15

Explanation:

Given Exp. = log₁₀10 + log₁₀100 + log₁₀1000 + log₁₀10000 + log₁₀100000
= 1 + 2 + 3 + 4 + 5
= 15

Correct Answer: - 5

Explanation:

Exp. = log₁₀ 10^-5 = -5

Correct Answer: 1

Explanation:

log₆ log₅15625 = log₆ log₅(5)⁶
= log₆6(log₅5) = 1

Correct Answer: 1 / 10

Explanation:

? log₁₀⁴x = -1/4
? x = (10⁴)^-1/4
= 1/10

Correct Answer: 625 / 256

Explanation:

? log_x(16/25) = -1/2
? 16/25 = (x)^-1/2 = 1/x^1/2
? x = 625/256

Correct Answer: - 6

Explanation:

log₂(1/64) = log₂1 - log₂ 2⁶
= 0 - 6 = -6