Question

Se A= 5 elevado a log na base 25 de 2, determine o valor de A3

Answer 1

Resposta:

A=5^(㏒₂₅ 2)

A=5^[(㏒ 2)/log 25]

A=5^[(㏒ 2)/log 5²]

A=5^[(㏒ 2)/2log 5]

log₅ A = log₅ 5^[(㏒ 2)/2log 5]

log₅ A =[(㏒ 2)/2log 5] *  log₅ 5

log₅ A =(㏒ 2)/2log 5

log A /log 5=(㏒ 2)/2log 5

log A =(㏒ 2)/2

log A =(1/2)*(㏒ 2)

log A =㏒ √2

A =√2

A³=√2³