Question

Please help me with this question! '_'

Answer 1

5^{ log ( 1/2 base 1/5 )

=5^{log ( 2^-1 base 5^-1 )}

=5^{log(2 base 5 )

=2


log( 4/(√7+√3) base √2 ) + log{ 1/(10+2√21 ) base 1/2

=log{ 4/(√7 +√3) base 2½} +log { (10+2√21) base 2 }

= log{ (4/(√7+√3)² base 2} + log{ (10+2√21 ) base 2 }

=log { 16/(√7²+√3²+2√21) × (10+2√21) base 2 }

=log { 16 base 2 }

= log (2⁴ base 2)
=4

now , add both finding evaluation

2 + 4 = 6 ( answer )

Answer 2

Hope This Helps You!!