Question

Condense the expression in a single logarithm: 6log3m + 2log3n – 4log3p

Answer 1

9514 1404 393

Answer:

log3(m^6n^2/p^4)

Explanation:

The applicable rules of logarithms are ...

log(a^b) = b·log(a)

log(ab) = log(a) +log(b)

log(a/b) = log(a) -log(b)

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We assume you want to condense ...

`6\log_3(m)+2\log_3(n)-4\log_3(p)=\boxed{\log_3\left((m^6n^2)/(p^4)\right)}`