1 point Suppose that ulog4 u log 4 and vlog5 v log 5 Find p

1 point) Suppose that u=log(4) u log 4 and v=log(5) v log 5 .

Find possible formulas for the following expressions in terms of u u and/or v v . Your answers should NOT involve any logs

a) log(0.8)=

b) log(0.016)=

c) log(25000)=

d) log(sqrt8000)

u=log(4)

we can also say: u = log4= log(2^2)

u/2 = log2

and v=log(5)

a) log(0.8) = log(8/10) = log(2^3/5*2) = log4/5 = log4 -log5 = u - v

b) log(0.016) = log(16/1000)= log(4/250) =log(2/125) = log2 - log125

= log2 - log5^3 = log2 - 3log5

= u/2 -3v

c) log(25000) = log25*1000) = log5^2 +log10^3

= 2log5 +3log10

= 2log5 +3log2 + 3log5

= 5log5 +3log2 = 5v +3u/2

d) log(sqrt8000) = log10*sqrt(80) = log10 + log(5*16)

= log 2 +log5 +log5 +2log4

= u/2 +v +v +2u

= 5u/2 +2v