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6.5E: Mali ya Logarithmic (Mazoezi)

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    178713

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    26. Andika upya\(\ln (7 r \cdot 11 s t)\) katika fomu iliyopanuliwa.

    27. Andika upya\(\log _{8}(x)+\log _{8}(5)+\log _{8}(y)+\log _{8}(13)\) kwa fomu ya compact.

    28. Andika upya\(\log _{m}\left(\frac{67}{83}\right)\) katika fomu iliyopanuliwa.

    29. Andika upya\(\ln (z)-\ln (x)-\ln (y)\) kwa fomu ya compact.

    30. Andika upya\(\ln \left(\frac{1}{x^{5}}\right)\) kama bidhaa.

    31. Andika upya\(-\log _{y}\left(\frac{1}{12}\right)\) kama logarithm moja.

    32. Tumia mali ya logarithms kupanua\(\log \left(\frac{r^{2} s^{11}}{t^{14}}\right)\).

    33. Tumia mali ya logarithms kupanua\(\ln \left(2 b \sqrt{\frac{b+1}{b-1}}\right)\).

    34. Condense kujieleza\(5 \ln (b)+\ln (c)+\frac{\ln (4-a)}{2}\) kwa logarithm moja.

    35. Condense kujieleza\(3 \log _{7} v+6 \log _{7} w-\frac{\log _{7} u}{3}\) kwa logarithm moja.

    36. Andika upya\(\log _{3}(12.75)\) kwa msingi\(e\).

    37. Andika upya\(5^{12 x-17}=125\) kama logarithm. Kisha kuomba mabadiliko ya formula ya msingi ili kutatua kwa\(x\) kutumia logi ya kawaida. Pande zote kwa elfu ya karibu.