Question

Gente alguem me explica como resolve isto ??

Calcule aplicando as propriedades:


Por favor ajudemm

Answer 1

Boa tarde

log(ab) = log(a) + log(b)
log(a/b) = log(a) - log(b)
log(a^n) = n*log(a) 

1) 

log2(512/64) = log2(512) - log2(64)
log2(512) = log2(2^9) = 9
log2(64) = log2(2^6) = 6 
log2/512/64) = 9 - 6 = 3 

2)

log(b^2/10a) = 2log(b) - log(a) - log(10) = 2log(b) - log(a) - 1

3)

log2(8a/b^3c^2) = log2(8) + log2(a) - 3log(b) - 2log2(c) 
= log2(a) - 3log(b) - 2log2(c) + 3 

4)

log3(3*81) = log3(3) + log3(3^4) = log3(3) + 4log3(3) = 5

5)

log2(89/(b^3*c^2) = log2(89) - 3log2(3) - 2log2(c) 

6) 

log7(49*343/7) = log7(49) + log7(343) - log7(7) = 

2log7(7) + 3log7(7)  - log7(7) = 2 + 3 - 1 = 4