This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Haya hapa majibu ya maswali yako: 1. Tumia jedwali za logariti kwa usahihi hadi tarakimu 4 muhimu kutathmini: 3/(69.8) Hatua ya 1: Weka usemi kama x na utumie logariti. x = 3/(69.8) _10 x = (1)/(3) ( _10(0.07214) + _10(2.037) - _10(69.8) ) Hatua ya 2: Tafuta logariti za nambari kutoka jedwali. _10(0.07214) = 2.8582 _10(2.037) = 0.3090 _10(69.8) = 1.8439 Hatua ya 3: Fanya hesabu za logariti. Kwanza, ongeza logariti za nambari kwenye kiasi: _10(0.07214) + _10(2.037) = 2.8582 + 0.3090 = 1.1672 Kisha, toa logariti ya kigawanyo: 1.1672 - 1.8439 = (-1 + 0.1672) - (1 + 0.8439) = -1 + 0.1672 - 1 - 0.8439 = -2 - 0.6767 = -2.6767 Hatua ya 4: Gawanya kwa 3. _10 x = (-2.6767)/(3) = -0.892233... *Hatua ya 5: Badil