Respuesta :

Answer:

B

Step-by-step explanation:

given 625 = [tex]5^{(7x-3)}[/tex]

note that 625 = [tex]5^{4}[/tex], hence

[tex]5^{4}[/tex] = [tex]5^{7x-3}[/tex]

Since bases on both sides of the equation are equal then we can equate the exponents, hence

7x - 3 = 4 ( add 3 to both sides )

7x = 7 ( divide both sides by 7 )

x = 1 → B


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