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

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

Sum

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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Chapter 8: Logarithms - Exercise 8 (B) [Page 107]

Chapter 8 Logarithms
Exercise 8 (B) | Q 10.1 | Page 107

Express in terms of log 2 and log 3:

log 144

Express in terms of log 2 and log 3:

`log26/51 - log91/119`

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

Solve for x : log (x² - 21) = 2.

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

If log₁₀2 = a and log₁₀3 = b ; express each of the following in terms of 'a' and 'b': log `2 1/4`

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

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

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