State, True Or False : Log 1 X Log 1000 = 0 - Mathematics

State, true or false : log 1 x log 1000 = 0

बेरीज

We have,
log 1 = 0 and log 1000 = 3
∴ log 1 x log 1000 = 0 x 3 = 0
Thus the statement, log 1 x log 1000 = 0 is true.

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Laws of Logarithm

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पाठ 8: Logarithms - Exercise 8 (B) [पृष्ठ १०७]

पाठ 8 Logarithms
Exercise 8 (B) | Q 10.1 | पृष्ठ १०७

Express in terms of log 2 and log 3 : log 36

Express the following in a form free from logarithm:
2 log x + 3 log y = log a

Evaluate the following without using tables :
log 5 + log 8 - 2 log 2

Evaluate the following without using tables :
log₁₀8 + log₁₀25 + 2 log₁₀3 - log₁₀18

Solve for x : log (x - 2) + log (x + 2) = log 5

Solve for x : log (x + 5) + log (x - 5) = 4 log 2 + 2 log 3

If log 2 = 0.3010 and log 3 = 0.4771; find the value of:

`2/3` log 8

If log₁₀2 = a and log₁₀3 = b ; express each of the following in terms of 'a' and 'b' : log 5.4

Solve for x : ` (log 64)/(log 8)` = log x

If log₁₀ 8 = 0.90, find the value of:

log₁₀ 4