(125/8) raise to the power x multiply by (125/8) = (5/2) raise to the power 18
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Step-by-step explanation:
(125/8)^x × 125/8 = (5/2)^18
((5/2)^3)^x × (5/2)^3 = (5/2)^18
(a^m)^n= a^(m×n)
(5/2)^3x × (5/2)3 = (5/2)^18
a^m × a^n = a^(m×n)
(5/2)^(3x + 3) = (5/2)^18
Now equate the equation as bases are same
3x + 3 = 18
3x = 18-3
3x = 15
x = 15/3
x = 5
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