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Practice using the log rules to add and subtract logarithms

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rebelmaths rebel Rebel REBEL

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Express each of the following as a single logarithm

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$\\log{\\var{a1}} + \\log{\\var{a2}} = \\log$[[0]]

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$\\log{\\var{b1}} + \\log{\\var{b2}} = \\log$[[0]]

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$\\log{\\var{c3}} - \\log{\\var{c2}} = \\log$[[0]]

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$\\log{\\var{e1}} + \\log{\\var{e2}} + \\log{\\var{e3}} = \\log$[[0]]

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$\\log{\\var{f1}} + \\log{\\var{f3}} - \\log{\\var{f5}} = \\log$[[0]]

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$\\var{g1}\\log{\\var{g2}} + \\log{\\var{g3}} - \\log{\\var{g4}}=\\log$[[0]]

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$\\frac{1}{2}\\log{\\var{h3}} - \\frac{1}{2}\\log{\\var{h2}}=\\log$[[0]]

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$\\log{\\var{i3}}-\\frac{1}{2}\\log{\\var{i4}} = \\log$[[0]]

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Use of the laws of logarithms is crucial here:

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$\\log{a} + \\log{b} = \\log{ab}$

\n

$\\log{a} - \\log{b} = \\log{\\frac{a}{b}}$

\n

$\\log{a^n} = n\\log{a}$

\n

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