Question

4) Calcule o valor de x
a) log x 16 = 4
b) log3 x = 5
c) log1/4 64 = x
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Answer 1

a) log x 16 = 4

x⁴ = 16

x⁴ = 2⁴

x = 2

b) log3 x = 5

x = 3⁵

x = 243

c) log1/4 64 = x

64 = (1/4)^x

(4)³ = (1/4)^x

(1/4)^-3 = (1/4)^x

x = -3