question log-----

Question

F i n d   a l l   s o l u t i o n s   f o r   x : log 3 4 - log 3 x = 2

Answer 1

log₃ 4 - log₃ x = 2 Simplify logarithm since they are in the same base

log₃ (4/x) = 2 Change to exponential form

3² = 4/x Simplify exponential term

9 = 4/x

9x = 4

x = 4/9

Answer 2

log₃4 -log₃x = 2

log₃(4/x) =2

3^2 = 9 = 4/x

x =4/9

Answer 3

log₃4 - log₃x = 2; 4/x = 3²; x = 4/9