2^5х-1 · 3^3х-1 · 5^2х-1 = 720^х

Question

2^5х-1 · 3^3х-1 · 5^2х-1 = 720^х

Answer 1

2^(5x-1)*3^(3x-1)*5^(2x-1)=720^x
(2^(5x)/2)*(3^(3x)/3)*(5^(2x)/5)=720^x
(32^x*27^x*25^x)/(2*3*5)=720^x
21600^x/30=720^x
(216000/720)^x/30=1
30^x/30=1
30^x=30¹
x=1