Question

Log3 (x-7)=2 решить уравнение

Answer 1

$log_3(x-7)=2\\ x-7\ \textgreater \ 0\\ x\ \textgreater \ 7\\ log_3(x-7)=2*1\\ log_3(x-7)=2*log_33\\ log_3(x-7)=log_33^2\\ x-7=9\\ x=16$

Answer 2

To solve the equation log3(x-7) = 2, we need to isolate the variable x. Here's how you can solve it step by step:

Step 1: Rewrite the equation in exponential form. In logarithmic form, log3(x-7) = 2 means that 3^2 = x-7. Simplifying the left side, we have 9 = x-7.

Step 2: Solve for x. Add 7 to both sides of the equation to isolate x: 9 + 7 = x-7 + 7 16 = x

So the solution to the equation log3(x-7) = 2 is x = 16.