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[tex] {(5x)}^{x} = {5}^{ {5}^{5} } [/tex]
Please solve this... Irrelevant answers will be reported...I want step-by-step explanation...Thank you in advance.​

Respuesta :

mhanifa

Answer:

  • 625

Step-by-step explanation:

Given equation:

  • [tex](5x)^x=5^{5^5}\\[/tex]

Rewrite the right side as:

  • [tex]5^{5^5}=5^{5*5^4}=(5^5)^{5^4}=(5*5^4)^{5^4}\\[/tex]

Now compare this with the left side to confirm that:

  • [tex]x = 5^4[/tex]

or

  • x = 625

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