Question

find X such that 125 / 8 power 5 into 125 / 8 power and equals to 5 by 2 power 18​

Answer 1

Answer:

Step-by-step explanation:

125/8 × (125/8)^x = (5/2)^18

(5/2)³×[(5/2)^3]^x = (5/2)^18

(a^m)^n = a^mn

(5/2)^3 × (5/2)^3x = (5/2)^18

a^m × a^n = a^m+n

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

=> as bases are equal exponents are equal

=> 3+3x = 18

=> 3x = 15 => x = 15/3 = 5

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Answer 2

(5/2)^3×(5/2)^3x=(5/2)^18

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

3+3x=18

3x=18-3

X=15/3=5