Answer :
Answer:
x=5 or x=2
Step-by-step explanation:
step 1st
[tex] log_{9}( {x}^{2} - 4x ) = log_{9}(3x - 10) [/tex]
we can cancel log when they have same base
so , we can write
x²-4x = 3x-10
step 2nd x²-4x-3x+10=0
step 3rd x²-7x+10=0
it becomes a quadratic equation so we will be solved this equation by split method.
step 4th x²-5x-2x+10=0
step 5th x(x-5)-2(x-5)=0
step 6th (x-5)(x-2)=0
step 7th Now, x-5=0 or x-2=0
x=5 or x=2
