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

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

योग

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

अध्याय 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 :
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 : log 25

Solve for x :
`log 225/log15` = log x

State, true or false :
`log x/log y` = log x - log y

State, true or false :
log x x log y = log x + log y

If log₁₀ 8 = 0.90, find the value of:

log₁₀ 4