Having some trouble with logs. I have attached two questions. The first question I completed and wanted a second opinion on my answer. The second question confuses me (I think it's 5)
A)my answer is 18.287711238. I got log (subscript 2) 320000, then used the equation to change the base of the log to 10 so I could use a calculater. Is this correct?
B)my answer is 5 (guess)
I have no time to explain long, but here is quick one way of doing your problems here.
a) Log(to the base 2)[3200] -2Log(to the base 2)[10]
= Log(base 2)[3200 / (10^2)]
= Log(base 2)[32]
= 5 -------------------------answer.
b) Log(base 2)[2 raised to Log(base 5)[5]]
= Log(base 2)[2 raised to 1]
= Log(base 2)[2]
= 1 -------------------answer.
In about 12 to 14 hours from now I can explain any other way, including your changing into base 10 first---if you like.