Question

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

Answer 1

Answer:

x = 1

Step-by-step explanation:

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