Question

Calcule X nas expressões
a) log (1/X) = log (1/3) + log 9 
b) 1/2.log3 x = 2.log3 10 - log3 4

Answer 1

Ola

a) log(1/x) = log(1/3) + log(9) 

log(1/x) = log(9/3) = log(3)

1/x = 3,  x = 1/3

b)

log3(x)/2 = 2*log3(10) - log3(4) 

log3(x) = 4*log3(10) - 2log3(4) 

log3(x) = log3(10^4) - log3(16) 

log3(x) = log3(10^4/16) 

x = 10^4/16 = 625