Question

Solve the equation for x, algebraically: log₄(3x + 2) − log₄(x − 1) = 1.

Answer 1

The logarithmic equation is .

Apply property of logarithm: log_ax = log_bx / log_ba.

Apply property of logarithm: m log_a x = log_a x^m.

Apply property of logarithm: log_a x + log_a y = log_a xy.

Remove logorithm on both sides.

The value of x is 6.