Question

Ajuda com logaritimos
A) log9 1
B) log3 16

Calcule x:
Log (3x-2) 4 = 2

Log (2-x) 8 = 3

Logx (2x+15) = 2

Answer 1

Boa noite Satan

A) log9(1) = 0

B)

 log3(16) = log(16)/log(3) =
 4log(2)/log(3) = 4*0.30103/0.47712 = 2.52373


log(3x - 2)(4) = 2

2^(3x - 2) = 4 = 2^2
3x - 2 = 2
3x = 4
x = 4/3

log(2 - x)(8) = 3
log(8) = 3*log(2 - x)
8 = (2 - x)^3 = 2^3
2 - x = 3
x = -1

logx(2x + 15) = 2
log(2x + 15) = log(x^2)

2x + 15 = x^2
x^2 - 2x - 15 = 0
delta
d^2 = 4 + 60 = 64
d = 8
x = (2 + 8)/2 = 5