Hi there! We are given the expression:

To condense or simplify the following logarithm. You have to remember these properties:
Properties - Logarithm

These two properties are what we need for our problem. Therefore,

We use the log_b(a)^n = nlog_b(a) property to convert in the form above. Next, we use the second property.

Answer
- log base 4 of (a^5/b^6) is our simplifed form.
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Answer:
L = 17 m
Step-by-step explanation:
The formula for the volume of a rect. prism of length L, width W and height H is V = L*W*H. Here we are given certain values (W and H) and are asked to find the third value (L).
Solving V = L*W*H for L, we get
V
L = ----------
W*H
Subst. 2830.5 m³ for V, 18.5 m for W and 9 m for H. This results in:
2830.5 m³
L = -------------------- = 17 m
(18.5 m)(9 m)
The length of this prism is 17 m.
7.2 would be the quotient, because 237.6 divided by 33 is 7.2 .
Answer:
everything except -1 will be the answer
Step-by-step explanation:
4n + 13 < 9
n < -1
if n is -1, the answer would be 9(INCORRECT)
if n is -2, the answer would be 5(CORRECT)
if n is -3, the answer would be 1(CORRECT)
if n is -4, the answer would be -3(CORRECT)
Answer:
-1
Step-by-step explanation:

= 
= 
= -1