MattisL426942 MattisL426942

27-10-2022
Mathematics

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to Enter the value of n that makes the equation: 4^5.4^n=4^8 true

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KeyonaI151701 KeyonaI151701

27-10-2022

[tex]4^2\text{ }\times4^n=4^8[/tex]

Since both sides have the same base (4), we can add the exponents

[tex]4^{5+n}=4^8[/tex][tex]5+n=8[/tex]

subtract 5 from both sides:

[tex]5+n-5=8-5[/tex][tex]n=3[/tex]

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