Question

If log 27 is equal to 1.431 then find log 300

Answer 1

ANSWER:-
We have,log 27 = 1.431
⇒log 3^3 = 1.431
[log a^b = b log a ]
⇒3 log 3 = 1.431
⇒log 3 = 1.431/3 = 0.477
Now, log 300
= log (3×100)
[log a×b = log a+ log b]
= log 3 + log 100
= log 3 + 2 log 10
[log 10 =1]
= 0.477 + 2
= 2.477
Hope it makes you clear.
Thank you.