Math
posted by johnica martin on .
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 (:
Log7 x= ½ log7 36 (log base 7)
log x=2log 5+ log 4
Logx 10 + logx 8logx 5= 4 (log base x)
5^2x=3

Log7 x= ½ log7 36 (log base 7)
log7 (x) = log7 (36)^.5
so
x = 36^.5 = 6 
log x=2log 5+ log 4
log x = log(5)^2 + log 4
log x = log (25*4)
x = 100 
Logx 10 + logx 8logx 5= 4 (log base x)
logx (10*8/5) = 4
logx (16) = 4
16 = x^4
well, what to the fourth power = 16 ? 
5^2x=3
2 x log 5 = log 3
x log 25 = log 3
x = log 3 / log 25 
i have this problem ½ log2 x=3log22log24
(log base 2) it is kinda of the same as the first one but i don't undersand how you got them? 
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