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irafop61
@irafop61
July 2022
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Помогите вычислить логарифмы
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hlopushinairina
9.lg27/lg9=lg3³/lg3²=3lg3/2lg3=3/2;
10. log₁/₃ (8)/log₉16=log₃⁻¹(2)³/log₃²(2)⁴=-3log₃2/(4/2)log₃2=-3/2;
11.ln15·log₂₂₅(e)=ln15·log₁₅²(e)=ln15·(1/2)·log₁₅(e)=1/2·ln15·(1/ln15)=1/2.
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Answers & Comments
10. log₁/₃ (8)/log₉16=log₃⁻¹(2)³/log₃²(2)⁴=-3log₃2/(4/2)log₃2=-3/2;
11.ln15·log₂₂₅(e)=ln15·log₁₅²(e)=ln15·(1/2)·log₁₅(e)=1/2·ln15·(1/ln15)=1/2.