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Integration by Parts

If log 10 ...

Question

If ${log}_{10} a = m,$ express the following in terms of $a .$
$10^{3 m}$

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Solution

$l o g_{10} a = m$
$10^{m} = a$
$(10^{m})^{3} = a^{3}$
$10^{3 m} = a^{3}$

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