Question

Determine os logaritmos a seguir:
A) log2 32 = x

B) logx 27 = 3

C) log 5 x = 2

D) log9 9 = x

Answer 1

Use as definições de logaritmo:

logc a = b, então c^b = a.

logc a^b = blogc a

A)

log2 32 = x

log 2 2^5 = x

5log2 2 = x

5 = x

B)

logx 27 = 3

x^3 = 27

x^3 = 3^3

x = 3

C)

log5 x = 2

5^2 = x

x = 25

D)

log9 9 = x

9^x = 9^1

x = 1

Resposta:

A) 5

B) 3

C) 25

D) 1