Solve for the following equation step by step and justify your steps when using an exponential property. (7^x) ^4=7^2-7^3/7^3x

Question

Charlie Russell

Mathematics

2 January, 10:27

Solve for the following equation step by step and justify your steps when using an exponential property. (7^x) ^4=7^2-7^3/7^3x

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Answers (1)

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Alina · Answer 1

The equation is (7^x) ^4 = (7^2 * 7^3) / 7^3x

(7^x) ^4 is equal to 7^ (4x)

7^2 * 7^3 is equal to 7^ (2+3) which gives 7^5

therefore;

7^5/7^3x is equal to 7^ (5-3x)

Hence we get;

7^ (4x) = 7^ (5-3x)

thus; 4x = 5-3x

7x = 5 (solving for x)

Therefore; x = 5/7