Question

What is the solution to 2log↓g(x)=log↓g8+log↓g(x-2)? ​

Answer 1

x = 4

Explanation:

`2log_9(x)=log_98+log_9(x-2) \\ log_9( {x}^(2) )=log_9 \{8 * (x-2) \} \\ {x}^(2) =8 * (x-2) \\ {x}^(2) = 8x - 16 \\ {x}^(2) - 8x + 16 = 0 \\ (x - 4)^(2) = 0 \\ x - 4 = 0 \\ \huge \red { \boxed{x = 4}}`