Question

Qual é a resposta urgente

Answer 1

A)

${4}^{3} + log_{4}(2) = 64 + \frac{ log_{2}(2) }{ log_{2}(4) } = \\ 64 + \frac{1}{2} = \boxed{64.5}$

B)

${5}^{1 - log_{5}(4) } = {5}^{ log_{5}(5) - log_{5}(4) } = {5}^{ log_{5}( \frac{5}{4} ) } \\ = \frac{5}{4} = \boxed{1.25}$

C)

${8}^{ log_{2}(7) } = ( {2}^{3} {)}^{ log_{2}(7) } = ( {2}^{ log_{2}(7) } {)}^{3} \\ = (7 {)}^{3} = \boxed{343}$

D)

${81}^{ log_{3}(2) } = ( {3}^{4} {)}^{ log_{3}(2) } = ( {3}^{ log_{3}(2) } {)}^{4} \\ = (2 {)}^{4} = \boxed{16}$

E)

${5}^{ log_{25}(7) } = {5}^{ \frac{ log_{5}(7) }{ log_{5}(25) } } = {5}^{ \frac{ log_{5}(7) }{2} } = \\ = \sqrt{ {5}^{ log_{5}(7) } } = \boxed{\sqrt{7} }$