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5. Find log 4...

Question

5. Find log 48 base 24 in terms of alpha if log 36 base 12 = alpha

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Solution

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l o g_{12}^{36} = α

l o g_{24}^{48}

α

l o g_{24}

α

{log}_{12} 36 = α

l o g_{24}

α

l o g_{12}

α

{log}_{24} 48

α

{log}_{12} 36 = α

{log}_{25} 24

{log}_{6} 15 = α

{log}_{12} 18 = β

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