If log (base4) x=2.5 and log (base Y) 125=-3/2, find the numerical value of x/y, in simplest form.

Question

Khloe Lewis

Mathematics

4 October, 18:08

If log (base4) x=2.5 and log (base Y) 125=-3/2, find the numerical value of x/y, in simplest form.

+5

Answers (1)

Know the Answer?

Francis Nelson · Answer 1

X = (2^2) ^ (2.5)

x = 2^ (2 * 2.5)

x = 2^5

x = 32

y^ (-3/2) = 125

y^ (-3) = 125^2

y^ (-3) = (5^3) ^2

y^ (-3) = (5^2) ^3

y^ (-3) = 25^3

y = 25^ (-1)

y = 1/25

x/y = >

32 / (1/25) = >

32 * 25 = >

800 is the simplest form of above