v8vcs299j8 v8vcs299j8
  • 16-02-2022
  • Mathematics
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For what value of x does 625 - 5^6-2x?

For what value of x does 625 562x class=

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Hrishii
Hrishii Hrishii
  • 16-02-2022

Answer:

x = 1

Step-by-step explanation:

[tex]625 = {5}^{6 - 2x} \\ \\ \implies \: {5}^{4} = {5}^{6 - 2x} \\ \\ (bases \: are \: equal \: so \: \\ exponents \: will \: also \: be \: equal )\\ \\ \implies \: 4 = 6 - 2x \\ \\ \implies \: 2x = 6 - 4 \\ \\ \implies \: 2x = 2 \\ \\ \implies \: x = \frac{2}{2} \\ \\ \implies \: \huge \red{ \boxed{x =1}}\\ \\ [/tex]

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