Question

Math

class 11 ,logrithem ,

Answer 1

Hi ,

Let a = log 2 , b = log 5

i ) a + b = log 2 + log 5

= log ( 2 × 5 )

= log 10

a + b = 1 ---( 1 )

ii ) log 20 = log( 4 × 5 ) = log 2² + log 5

= 2log2 + log5

= 2b + a ---( 2 )

Now ,

log5 log20 + ( log2 )²

= a( 2b+ a ) + b²

= 2ab + a² + b²

= ( a + b )²

= 1²

= 1

I hope this helps you.

: )