Question

How do you solve log3(x+1)=2+log3(x−3)?

Answer 1

Answer:

x= 3.04040404

Step-by-step explanation:

rearrange

log3(x+1) - log3 (x-3) = 2

law of log 1

log 3(x+1)/ 3(x-3) = log (x+1)/(x-3)]= 2

therefore: 10² = (x+1)/(x-3) ⇒ 100x-3000 = x+1

⇒ collect like terms

99x = 301

x= 301/99