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