Question

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

Answer 1

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 \\`