Question

A)log base x de 2 > log base 5 de 2
B)log base 1/3 de (log base 2 de x)>0

Answer 1

a)

log x (2) > log 5 (2)

log(2)/log(x) > log(2)/log(5)

1/log(x) > 1/log(5)

log(5) > log(x)

x < 5

b)

log 1/3 (log 2 (x)) > 0

log(log(x)/log(2))/log(1/3) > 0

log(x) - log(2) > 0

log(x) > log(2)

x > 2