✨ Best Answer ✨
14=2×7、56=2³×7を利用
また、
log₂7=log₃7/log₃2
=log₃7/(1/log₂3)
=log₃7×log₂3
=ab と置ける
log₁₄56=log₂56/log₂14
=log₂(2³×7)÷log₂(2×7)
={log₂2³+log₂7}÷{log₂2+log₂7}
={3+log₂7}÷{1+log₂7}
=(3+ab)÷(1+ab)
=(3+ab)/(1+ab)
✨ Best Answer ✨
14=2×7、56=2³×7を利用
また、
log₂7=log₃7/log₃2
=log₃7/(1/log₂3)
=log₃7×log₂3
=ab と置ける
log₁₄56=log₂56/log₂14
=log₂(2³×7)÷log₂(2×7)
={log₂2³+log₂7}÷{log₂2+log₂7}
={3+log₂7}÷{1+log₂7}
=(3+ab)÷(1+ab)
=(3+ab)/(1+ab)
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