The logarithm written as a sum of logarithm and simplified as much as possible is 
<h3>Simplifying Logarithms</h3>
From the question, we are to write the given logarithm expression as a sum or difference of logarithms
The given logarithm is

This can be written as

From one of the rules of logarithm, we have that

Thus,
becomes

This can be further simplified into


If desired, this can be further simplified into




Hence, the logarithm written as a sum of logarithm and simplified as much as possible is 
Learn more on Simplifying logarithms here: brainly.com/question/17851187
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Answer:
Option B. A = (5/6)^-⅛
Step-by-step explanation:
From the question given above, we obtained:
(5/6)ˣ = A¯⁸ˣ
We can obtain the value of A as follow:
(5/6)ˣ = A¯⁸ˣ
Cancel x from both side
5/6 = A¯⁸
Recall:
M¯ⁿ = 1/Mⁿ
A¯⁸ = 1/A⁸
Thus,
5/6 = 1/A⁸
Cross multiply
5 × A⁸ = 6
Divide both side by 5
A⁸ = 6/5
Take the 8th root of both sides
A = ⁸√(6/5)
Recall
ⁿ√M = M^1/n
Thus,
⁸√(6/5) = (6/5)^⅛
Therefore,
A = (6/5)^⅛
Recall:
(A/B)ⁿ = (B/A)¯ⁿ
(6/5)^⅛ = (5/6)^-⅛
Therefore,
A = (5/6)^-⅛
Answer:
B) (2, 16), (3, 24), (4, 32), (5, 40)
Step-by-step explanation:
1 ticket costs $8. 8 x 2 = 16, so 2 tickets cost $16. 8 x 3 = 24, so 3 tickets cost $24. The same thing goes for 4 tickets, and 5 tickets.
Answer:
x=3
Step-by-step explanation:
x³ - 3 =24
x³ = 27
x = 3