these are some problems i do not get any help is appreciated. These are copied exactly from the worksheet so i don't think i wrote anything wrong. Please explain it for me and could i get the answer thanks (:

Question

Log7 x= ½ log7 36 (log base 7)

log x=2log 5+ log 4

Logx 10 + logx 8-logx 5= 4 (log base x)

5^2x=3

Answer 1

Log7 x= ½ log7 36 (log base 7)

log7 (x) = log7 (36)^.5
so
x = 36^.5 = 6

Answer 2

log x=2log 5+ log 4

log x = log(5)^2 + log 4
log x = log (25*4)
x = 100

Answer 3

Logx 10 + logx 8-logx 5= 4 (log base x)

logx (10*8/5) = 4

logx (16) = 4

16 = x^4
well, what to the fourth power = 16 ?

Answer 4

5^2x=3

2 x log 5 = log 3

x log 25 = log 3

x = log 3 / log 25

Answer 5

i have this problem ½ log2 x=3log22-log24
(log base 2) it is kinda of the same as the first one but i don't undersand how you got them?

Answer 6

log2 (x^.5 ) = log2 (8) - log2(4)

log2 (x^.5) = log2 (2) which is 1

log 2 (x^.5) = 1

x^.5 = 2^1 = 2

x = 2^2 = 4