Solve each equation for x. (For each answer, enter an exact number. Enter your answers as comma-separated lists.)

Question

Solve each equation for x. (For each answer, enter an exact number. Enter your answers as comma-separated lists.)

(a). 2^x − 3 = 7

x  =

(b). ln(x) + ln(x − 1) = 1

x =

Answer 1

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Answer 2

(a)

(x - 3) ln 2 = ln 7

x - 3 = ln 7 / ln 2

x = (ln 7 / ln 2) + 3

(b)

ln [x(x - 1)] = 1

e = x² - x