Question

Considerando Log2 = 0,30
log 3 = 0.48
log 5 = 0,70
log 7 = 0.84
log 33 = 1.52

Determine:

a)Log
${2}^{5}$
b)log
${3}^{7}$
c)log 11

d)log
${8}^{27}$

​

Answer 1

Resposta:

a ) 1,50

b ) 3,36

c ) 1,04

d ) 24,30

Explicação passo-a-passo:

$\:log 2^5 = 5log2 = 5.(0,30) = 1,50$

$\:log 3^7 = 7log3 = 7.(0,48) = 3,36$

$log 11 = log \frac{33}{3} = log 33 - log 3 = (1,52) - (0,48) = 1,04$

$log 8^{27} = log 2^{81} = 81log2 = 81.(0,30) = 24,30$