Lilmike234
  • Lilmike234
let logba=3 logbc=2 logbd=5 what is the value of logb(A^5C^2/D^6) ? 1. 2 2. -15,378 3. -11 4. There isn't enough information to answer the question
Mathematics
katieb
  • katieb
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zzr0ck3r
  • zzr0ck3r
\(\log_b(\frac{A^5C^2}{D^6})=\log_b(A^5C^2)-\log_b(D^6)=\log_b(A^5)+\log_b(C^2)-\log_b(D^6)\\=5\log_b(A)+2\log_B(C)-6\log_b(D)\)
Lilmike234
  • Lilmike234
So my answer would be 3?
zzr0ck3r
  • zzr0ck3r
how did you get that?

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Lilmike234
  • Lilmike234
I plugged in 7 for the first log instead of 5. But I redid my calculations and got -11
Lilmike234
  • Lilmike234
Am I right ?
zzr0ck3r
  • zzr0ck3r
correct

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