3 years ago

20 POINTS!! Let logb A = 3; log, C = 2; log, D= 5 What is the value of logb(a5c2/d6)?

Mathematics

1 answer:

mariarad [96]3 years ago

4 0

Answer:

-11

Step-by-step explanation:

logb ( a^5 c^2 / d^6)

Splitting these into log (xy/z) = log x + log y - logz

logb ( a^5) +logb ( c^2) - logb( d^6)

We also know that log x^y = y log x

5logb ( a) +2logb ( c) - 6 logb( d)

Given logb ( a)=3 logb ( c) =2 logb( d)=5

5 * 3 + 2* 2 - 6* 5

15 +4 -30

19 - 30

-11

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