Question

if log(5x-9)-log(x+3)=log 2 then x=?​

Answer 1

Answer:

The solution of the given equation is, x=5

Step-by-step explanation:

The given equation is,

log(5x-9) - log(x+3) = log2

We have to solve the given equation,

That is we have to find the value of x , which Satisfies the given equation,

Now, solving the equation,

log(5x-9) - log(x+3) = log2

=> log(5x-9) /(x+3) = log2

[ loga - logb = log a/b]

Now ,

=> (5x-9) /(x+3) = e^log2

=> (5x-9) /(x+3) = 2 [ as, e^logx = x]

=> 5x-9 = 2×(x+3)

=> 5x-9 = 2x+6

=> 5x-2x = 6+9

=> 3x = 15

=> x = 15÷3 = 5

So, the solution of the given equation is,

x = 5