56.3k views
5 votes
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
by
6.2k points

1 Answer

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
by
6.7k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.