Question

${1000}^{1000}>{1001}^{999}$
Say true or false.

• A. True
• B. False
• C. Ambiguous
  
• D. Data insufficient
  

Answer 1

The correct option is B False

We know $\log 1000=\log {10}^3=3,\log 1001=3.00043$

So, $\log \left({1000}^{1000}\right)=1000\log 1000=\left(1000\right)\times 3=3000$ And

$\log \left({1001}^{999}\right)=999\log 1001=\left(999\right)\times 3.00043=2997.4$

Then , $\log \left({1000}^{1000}\right)>\log \left({1001}^{999}\right)$

Hence the given statement is True.