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if log 2 = a, log 3 = b, and log 7 = c what is log 490 in terms of a, b and c and you can have integer coefficients

User Simontuffs
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2 votes

Answer:

Answer is 2×c + log [10^{a} + 10^{b}] +a

Explanation:

log 2 = a ,log 3 = b , log 7 = c

Using formula

log d×e = log d + log e

log d^{a} = a×log d

log 5 = log [10^{a} + 10^{b}]

log 490 in terms of a , b and c and you can have integer coefficients

log 490

= log 7^{2}×5×2

= 2×log 7 + log 5 + log 2

= 2×c + log [10^{a} + 10^{b}] +a

Answer is 2×c + log [10^{a} + 10^{b}] +a

User Arrya Regan
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