Question

Dados log 2=0,30
log 3=0,48
log 5=0,70
log e=0,43
Calcule
2×=5
e×=3
5×=e
e×-6=0

Answer 1

Vamos lá

2^x = 5

xlog(2) = log(5)

x = log(5)/log(2) = 0.70/0.30 = 7/3  = 2.333...

e^x = 3

xlog(e) = log(3)

x = log(3)/log(e) = 0.48/0.43 = 1.116

5^x = e

xlog(5) = log(e)

x = log(e)/log(5) = 0.43/0.70 = 0.614

e^x - 6 = 0

xlog(e) = log(6)

x = log(6)/log(e) = (0.30 + 0.48)/0.43 = 1.814