MR-205 / 1073. zadatak

Rešiti eksponencijalnu jednačinu:

2x-1-2x-3=3x-2-3x-3

2x-1-2x-3=3x-2-3x-3

2x-1-2x-3=3x-2-3x-3
2x·2-1-2x·2-3=3x·3-2-3x·3-3
2x2-2x23=3x32-3x33
2x12-123=3x132-133
2x22-123=3x3-133
2x323=3x233
2x3x=2·2333·3
2x3x=2434
23x=234

x=4