Question

Dados log 2 = 0, 30 ; log 3 = 0, 48 ; log 5 = 0, 70e log e = 0, 43 , resolva as equações: c) 5 ^ x = e ; a) 2 ^ x = 5 ; b) e ^ x = 3 d) e ^ x - 6 = 0​

Answer 1

Irei resolve-las e vc substitui o valor de log 2, log 3, log 5 e log e.

5^x = e

log 5^x = log e

xlog 5 = log e

x = (log e)/(log 5).

2^x = 5

log 2^x = log 5

xlog 2 = log 5

x = (log 5)/(log 2).

e^x = 3

log e^x = log 3

xlog e = log 3

x = (log 3)/(log e).

e^x - 6 = 0

e^x = 6

log e^x = log 6

xlog e = log 2 + log 3

x = (log 2 + log 3)/(log e).

Bons estudos, ma dear.