Express $lo g_{10} 5108$ in terms of $lo g_{10} 2$ and $lo g_{10} 3$ .

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Express

lo g_{10} 5108

in terms of

lo g_{10} 2

and

lo g_{10} 3

14 mins ago

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Text solutionVerified

lo g_{10} 5108 = lo g_{10} 5 2^{2} \times 3^{3}

= lo g_{10} (2)^{\frac{2}{5}} (3)^{\frac{3}{5}}

= \frac{2}{5} lo g_{10} 2 + \frac{3}{5} lo g_{10} 3

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Question Text	Express $lo g_{10} 5108$ in terms of $lo g_{10} 2$ and $lo g_{10} 3$ .
Answer Type	Text solution:1
Upvotes	150