Find the root of the equation log3 (5-4x) = 2

log3 (5 – 4 * x) = 2;
5 – 4 * x = 3 ^ 2;
5 – 4 * x = 3 * 3;
5 – 4 * x = 9;
We transfer the known values to one side, and the unknown ones to the other side. When transferring values, their signs change to the opposite sign. Then we get:
– 4 * x = 9 – 5;
– 4 * x = 4;
x = 4 / (- 4);
x = – 4/4;
x = – 1;
Examination:
Substitute the found value x = – 1 into the original expression log3 (5 – 4 * x) = 2, then we get:
log3 (5 – 4 * (- 1)) = 2;
log3 (5 + 4) = 2;
log3 9 = 2;
log3 3 ^ 2 = 2;
2 = 2;
Right;
Answer: x = – 1.