Question

please solve ......................................

Answer 1

(125/8)^(x+1)=(5/2)^(3x+3)
equate to rhs....base are same so power must be equal.
3x+3=18
3x=15
x=5

Answer 2

(125/8) × (125/8)^x = (5/2)^18

(5/2)^3 × (125/8)^x = (5/2)^18

(125/8)^x = (5/2)^18 × (2/5)^3


(125/8)^x = 5^18/2^18 × 2^3/5^3

(125/8)^x = 5^15/2^15

(5/2)³^x = (5/2)^15

(5/2)^3x = (5/2)^15

3x = 15

x = 15/3

x = 5