Find x so that (-5)^x+1 x (-5)^5 = (-5)^7 pls help its urgent

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asked Oct 18, 2022 199k views

5 votes

Find x so that (-5)^x+1 x (-5)^5 = (-5)^7
pls help its urgent

Mathematics
high-school

Vineth asked

by Vineth

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1 Answer

2 votes

Answer:

x = 2

Explanation:

${ - 5}^(x) + 1 * { - 5}^(5) = { - 5}^(7) \\ { - 5}^(x) - {5}^(5) = { - 5}^(7) \\ {5}^(7) - {5}^(5) = {5}^(x) \\ log_(5) \: {5}^(7) - {5}^(5) = x \\ log_(5) \: {5}^(7) - log_(5) \: {5}^(5) = x \\ 7 - 5 = x \\ 2 = x \\$

Brummo answered Oct 22, 2022

by Brummo

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x = 2

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