Question

log50=log2+2log5 prove that

Answer 1

2 log 5 = log 5^2 = log 25

As log ab = log a + log b

So log 2 + log 25 = log (2×25) = log 50


Hence proved

⚡⚡Dhruv⚡⚡⚡⚡⚡

Answer 2

we have,

R.H.S = $log(50)$

we have certains rules.let's recall them.

$log(a \times b) = log(a) + log(b) \\ log( {a}^{m} ) = m \times log(a)$

now, R.H.S can be written as
$log(50) = log(2 \times 25) \\ = > log(2) + log(25) \\ = > log(2) + log( {5}^{2} ) \\ = > log(2) + 2 \times log(5) . \\ hence \: proved$

Regards

KSHITIJ