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Pls tell this answer somebody fast ​-example-1

1 Answer

4 votes

Answer:

x = 2

Explanation:

Using the rule of exponents


(a^(m) )/(a^(n) ) =
a^((m-n))

Note that 49 = 7² and 343 = 7³

Consider the left side, that is


(7^(2x+1) )/(7^2) =
7^((2x+1-2)) =
7^((2x-1)) , thus


7^((2x-1)) = 7³

Since bases on both sides are equal, equate the exponents, that is

2x - 1 = 3 ( add 1 to both sides )

2x = 4 ( divide both sides by 2 )

x = 2

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