Solve for x; log_(12)x=1/2 log_(12) 9+1/3 log_(12)27

Lustyku8

Lustyku8

Answered question

2022-09-23

Solve for x
log 12 x = 1 2 log 12 9 + 1 3 log 12 27

Answer & Explanation

Kate Martinez

Kate Martinez

Beginner2022-09-24Added 7 answers

log 12 9 = log 12 3 2 = 2 log 12 3
Similarly,
log 12 27 = log 12 3 3 = 3 log 12 3
So,
log 12 x = 2 log 12 3 = log 12 3 2 = log 12 9 x = 9
skilmarka8j

skilmarka8j

Beginner2022-09-25Added 2 answers

log 12 x = log 12 9 0.5 + log 12 27 0.3333.... log 12 3 + log 12 3 log 12 9 = log 12 x
Therefore, x=9.

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