Question

(125/8)×(125/8)^x =(5/2)^18

Answer 1

(125/8)¹ × (125/8)^(x) = (5/2)^(18)

(125/8)^(1+x) = (5/2)^(18)

(5/2)^[3(1+x)] = (5/2)^(18)

(5/2)^(3+3x) = (5/2)^(18)


If bases are same, powers are equal.

3 +3x = 18

3x =18-3

3x =15

x =15/3

x =5




I hope this will help you



-by ABHAY

Answer 2

heya dear

here is your answer

(125/8) × (125/8)^2 = (5/2)^18

(5/2)^3 × (5/2)^ 3×2 = (5/2)^18

(5/2)^3 × (5/2)^6 = (5/2)^18

a^m × a^n = a^(m+n)

so here,

(5/2) ^ 3(1+x) = (5/2)^18

(5/2)^3+3x = (5/2)^18

bases are equal, so we can equate powers

so, 3+3x = 18

3x = 18-3

3x = 15

x = 15/3

x = 5

i hope it helped uh !!

thanks !!