Solve the equation!

Question

Solve the equation. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)

 

log₂(x + 10) = log₂(3 − x)

 

x=?

Answer 1

log₂(x + 10) = log₂(3 − x)

 

This can only be true if:

 

x + 10 = 3 - x

 

Solving for x:

 

2x = -7

x = -3.5

 

Check:

log₂(-3.5 + 10) = log₂(3 - -3.5)

log₂(6.5) = log₂(6.5) ≅ 2.701

Check!