Question

Properties of logarithms help?
Simplify 7 log3k + 6 log3m -9 log3n

Answer 1

choices:

Answer 2

@lovelyr0se

Answer 3

@hba

Answer 4

@mathmale

Answer 5

@timo86m

Answer 6

@jdoe0001 @e.mccormick

Answer 7

I'm going to write out your expression using Equation Editor for greater clarity:
\[7\log _{3}k + 6\log _{3}m-9\log _{3}n\]

Answer 8

Now remember: there are three rules of logs that may apply here.
(suggest you write them down for later reference).

log a + log b = log (ab)
log a - log b = log (a/b)
log a^b = b log a

Apply the third rule to \[7\log _{3}k:\]

Move that " 7 " so as to make it the exponent of k:
\[7\log _{3}k=\log _{3}k ^{7}\]

Answer 9

Do the same thing with the remaining two terms.

Is this enuf help to enable you to complete the problem solution?

When you're done, you should have only ONE logarithm.