Question

If 343 to The power x+1= 49 to the power x + 21 then the value of 'X' ?​

Answer 1

Answer:

Step-by-step explanation:

$(343)^{x+1} = (49)^{x+21}$

⇒

$7^{3(x+1)} = 7^{2(x+21)} [343 = 7^{3} & 49 = 7^{2}]$

Bases are equal, so, powers can be equated.

3x + 3 = 2x + 42

∴ x = 39 ................

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Answer 2

Answer:

⇒

7^{3(x+1)} = 7^{2(x+21)} [343 = 7^{3} & 49 = 7^{2}]

Bases are equal, so, powers can be equated.

3x + 3 = 2x + 42

∴ x = 39