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প্রমান করো [H.S ‘90]
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[H.S ‘90]-br /-\end{array}.jpg "\begin{array}{l}<br />{\log _2}10 - {\log _8}125\\<br /> = {\log _2}\left( {2 \times 5} \right) - {\log _8}{5^3}\\<br /> = {\log _2}2 + {\log _2}5 - 3{\log _8}5\\<br /> = 1 + {\log _2}5 - 3\frac{1}{{{{\log }_5}8}}\\<br /> = 1 + {\log _2}5 - 3\frac{1}{{{{\log }_5}{2^3}}}\\<br /> = 1 + {\log _2}5 - 3\frac{1}{{3{{\log }_5}2}}\\<br /> = 1 + {\log _2}5 - \frac{1}{{{{\log }_5}2}}\\<br /> = 1 + {\log _2}5 - {\log _2}5\\<br /> = 1\left( {proved} \right)<br />\end{array}")
