Question

Answer this please!

Answer 1

using property of logarithm we know that if base and argument of log are positive then value of log is also positive ..

and we can see that

A = 1.49 ( approximately)

B = 1.49 (approximately)


so value of log is is 1

which is positive integer.

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hope it will help u

Answer 2

B = 12/( 3 + √5 + √8 )

= 12/( 1+ √2² + √5 + 2√2)

= 12/{ (1² +√2² + 2√2) +√5}

= 12/{ (1 +√2)² + √5}

= 12× { ( 1+√2)² - √5}/{ (1+√2)⁴ -√5² }

=12{ (1 +√2)² -√5}/{ 17 + 12√2 -5 }

= { (1+√2)² -√5}/( 1+ √2)

= ( 1 + √2) -√5/( 1+√2)

= 1 + √2 - √5× (√2 -1)/( √2² -1)

= 1+ √2 -√10 +√5

hence, B = √1 + √2 + √5 -√10

and given A = √1 +√2 + √ 5 -√10

hence, A = B

so, log( B base A ) = 1
so,

log( B base A ) is a positive integer .