Log(4)log(14)196+log(5)√(5)

Question

Log(4)log(14)196+log(5)√(5)

Answer 1

Log₄(log₁₄196)+log₅√5=log₄(log₁₄14²)+log₅5¹/²=log4(2*log₁₄14)+(1/2)*log₅5=
=log₄2+1/2=(1/2)log₂2+1/2=1/2+1/2=1.

Comments

Спасибо большое