Question

3) Determine a base a:
(a) loga 4=0,4
(b) loga 8= -3/ 4
(c) loga 36=2
(d) loga 7=1/2

Answer 1

(a) loga 4=0,4 ==> a^0,4 = 4 ==> a^4/10=4^2==>a= (2^2)^4/10==>a=2^8/10 ou a=2^4/5
(b) loga 8= -3/ 4 ==> a^-3/4=8 ==>a^-3/4 = 2^3==>a= (2^3)^-3/4 ==>a=2^-9/4 
(c) loga 36=2 ==>a^2 = 36 ==>a^2 = 6^2 ==> a = 6
(d) loga 7=1/2 ==> a^1/2 = 7 ==> a = 7^1/2