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Fill in the missing values to make the equation true.

Fill in the missing values to make the equation true.-example-1
User Jacqueline
by
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1 Answer

1 vote

Answer:

see explanation

Explanation:

using the rules of logarithms

• loga + logb = log(ab)

• loga - logb = log (
(a)/(b) )

• log
x^(n) = nlogx

(a)


log_(4) 5 +
log_(4) 3 =
log_(4) (5 × 3) =
log_(4) 15

(b)


log_(3) 4 -
log_(3) ? =
log_(3) (
(4)/(7) ) ← with a = 4 and b = 7 , then


log_(3) 4 -
log_(3) 7 =
log_(3)
(4)/(7)

(c)


log_(5) 81 = 4
log_(5) ?

note that 81 =
3^(4) , then


log_(5) 81 =
log_(5)
3^(4) = 4
log_(5) 3

User Sauron
by
7.8k points

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