Question

Calcule o valor da expressão log⁡(log_2⁡(log_3⁡(log_2⁡512 ) ) ).



pfv​

Answer 1

log2 (log3 (log2 512) = x

(log3 (log2 512) = 2^x

(log2 512) = 3^(2x)

2^3^2x = 512

2^3^2x = 2^9

3^2x = 9

3^2x = 3^2

2x = 2

x = 1