Problem 0012 | Logarithm

Bengalstudents ...Sun, 17/02/2013 - 9:35pm

উদাহরণ ১০৷ প্রমান করো ${\log _a}b \times {\log _b}c \times {\log _c}a = 1$ [H.S ’75]

প্রমান:

$\begin{array}{l} {\log _a}b \times {\log _b}c \times {\log _c}a\\ = \left( {{{\log }_a}b \times {{\log }_b}c} \right) \times {\log _c}a\\ = {\log _a}c \times {\log _c}a\\ = {\log _a}c \times \frac{1}{{{{\log }_a}c}}\\ = 1\left( {proved} \right) \end{array}$

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Problem 0012 | Logarithm

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