Question

- log base 3 (25 – x^2) = 2​

Answer 1

Answer:

All is explained in the pic

Answer 2

$- log_{3}(25 - {x}^{2} ) = 2 \\ - log_{3}(25 - {x}^{2} ) = log_{3}9 \\ \\ taking \: antilogs \: on \: both \: sides \\ \\ - (25 - {x}^{2} ) = 9 \\ {x}^{2} - 25 = 9 \\ {x}^{2} = 9 + 25 \\ {x}^{2} = 36 \\ x = \sqrt{36}$

x = ±6