Question

Logaritmos

Calcule:

a) log2 2^-3

b) log7 (7)

c) 5^log5 (7)

d) 2^(log2 16+log2 (4))

e) 2^(2+2 log2 (64))

Answer 1

a) $\log_2 2^3=3$

b) $\log_7 7=1$  (pois $7^1=7$)

c) $5^{\log_5 7}=7$ (Propriedade)

d) $2^{\log_2 16+\log_2 4}=2^{\log_2 16}\cdot 2^{\log_2 4}=16\cdot 4=64$

e) $2^{2+2\log_2 64}=2^2 \cdot \left ({2^{\log_2 64}}\right )^{2}=4\cdot 64^2=16 384$