Help solve the equation log2 (x-4) = 3

log2 (x – 4) = 3;
x – 4 = 2 ^ 3;
x – 4 = 8;
We transfer the known values to one side, and the unknown ones to the other side. When transferring values, their signs are changed to the opposite sign. That is, we get:
x = 8 + 4;
x = 12;
Examination:
Substitute the found value x = 12 into the original expression log2 (x – 4) = 3, then we get:
log2 (12 – 4) = 3;
log2 (8) = 3;
log2 2 ^ 3 = 3;
3 = 3;
Right;
Answer: x = 12.



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