If 75 × 73x = 720 then find the value of ’x’. – InterviewSolution

1.

If 75 × 73x = 720 then find the value of ’x’.

Answer»

7⁵ × 7^3x = 7²⁰

W know a^m x aⁿ = a^m+n

7^5+3x = 7²⁰

If the bases are equal, then the powers should also be equal.

⇒ 5 + 3x = 20

⇒ 5 + 3x – 5 = 20 – 5

⇒ 3x = 15

⇒ 3x/3 = 15/3 = 5

∴ x = 5

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