Question

For what value of x does 625 - 5^6-2x?

Answer 1

x = 1

Explanation:

`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 = (2)/(2) \\ \\ \implies \: \huge \red{ \boxed{x =1}}\\ \\`