Question

Log (x+3) - log (x-3) = 1

Answer 1

$\tt{log_{10} (x+3) - log_{10} (x-3) = 1}$ [When base isn't mentioned base = 10]

=> $\tt{log_{10} \frac{(x+3)}{(x-3)} = 1}$ [property of logarithm]

=> $\tt{\frac{(x+3)}{(x-3)} = 10}$

=> x + 3 = 10(x - 3)

=> x + 3 = 10x - 30

=> 9x = 33

=> x = 33/9