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
Hapa kuna hatua za kurahisisha usemi wa logariti: Usemi uliotolewa ni: ( 128 - 18)/( 16 - 6) Step 1: Tumia sheria ya logariti A - B = ((A)/(B)) kwa nambari (numerator). 128 - 18 = ((128)/(18)) Rahisisha sehemu ndani ya logariti: ((128)/(18)) = ((64)/(9)) Step 2: Tumia sheria ya logariti A - B = ((A)/(B)) kwa kinyume (denominator). 16 - 6 = ((16)/(6)) Rahisisha sehemu ndani ya logariti: ((16)/(6)) = ((8)/(3)) Step 3: Andika upya usemi mzima kwa kutumia matokeo ya hatua za awali. ( (64)/(9)) ((8)/(3)) Step 4: Tambua uhusiano kati ya hoja (arguments) za logariti. Kumbuka kuwa (64)/(9) inaweza kuandikwa kama ((8)/(3))^2. Hivyo, usemi unakuwa: ( ((8)/(3))^2) ((8)/(3)) Step 5: Tumia sheria ya logariti A^n = n A kwa nambari. (((8)/(3))^2) = 2 ((8)/(3)) Step 6: Badilisha hii kwenye usemi. (2 (8)/(3)) ((8)/(3)) Futa neno la kawaida ((8)/(3)) kutoka nambari na kinyume. Jibu la mwisho ni: 2 That's 2 down. 3 left today — send the next one.