If log (a + b + c) = log (a) + log (b) + log (c) then the values of a, b, c are (a) 2, 3, 4 (b) 3, 4, 5 (c) 1, 2, 3 (d) 1, 3, 5
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Step-by-step explanation:
c is the answer
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We know a property of logarithm
log x+log y=log (xy)
hence by this property
log(a)+log(b)+log(c)=log(abc)
Log(a+b+c)=log(abc)
cancel log on both sides . we get,
a+b+c=abc
from option let us check
(a) 2+3+4=9
2×3×4=24
LHS not equal to RHS
So (a) is ❌
(b) 3+4+5=12
3×4×5=60
LHS not equal to RHS
so (b) is ❌
(c)1+2+3=6
1×2×3=6
LHS is equal to RHS
so (c) is ✔
(d)1+3+5=9
1×3×5=15
LHS is not equal to RHS
so (d) is ❌
So correct answer is
hope it helps
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