log4(x+3)+log4(2-x)=1

Question

Ayuda resolver logaritmo

Answer 1

The equation is .

Apply product property logarithm: .

Apply exponential formula: .

Subtract 4 from each side.

Apply zero product property: ab = 0 then a = 0 or b = 0.

Solve the first factor is .

Subtract 2 from each side.

.

Solve the second factor is .

Subtract 1 from each side.

Multiply each side by negative one.

The solutions are .