precal question

Question

Each of these equations can be transformed into an equation of linear or quadratic type by applying the hint. Solve each equation. (Enter your answers as comma-separated lists.)

(a)     (x − 1)^{log(x − 1)} = 100(x − 1)

[Hint: Take log of each side.]

x = 

(b)     log₂(x) + log₄(x) + log₈(x) = 11

[Hint: Change all logs to base 2.]

x = 

(c)     4^x − 2^{x + 1} = 3

[Hint: Write as a quadratic in 2^x.]

x = 

 

Answer 1