By taking advantage of the definition of <em>exponential</em> and <em>logarithmic</em> function and their inherent relationship we conclude that the solution is x = 4 · ㏒ 3/(㏒ 7 - ㏒ 3).
<h3>How to solve an exponential equation by logarithms</h3>
<em>Exponential</em> and <em>logarithmic</em> functions are <em>trascendental</em> functions, these are, functions that cannot be described <em>algebraically</em>. In addition, <em>logarithmic</em> functions are the <em>inverse</em> form of <em>exponential</em> functions. In this question we take advantage of this fact to solve a given expression:
- 7ˣ = 3ˣ⁺⁴ Given
- ㏒ 7ˣ = ㏒ 3ˣ⁺⁴ Definition of logarithm
- x · ㏒ 7 = (x + 4) · ㏒ 3 ㏒ aᵇ = b · ㏒ a
- x · ㏒ 7 = x · ㏒ 3 + 4 · ㏒ 3 Distributive property
- x · (㏒ 7 - ㏒ 3) = 4 · ㏒ 3 Existence of additive inverse/Modulative and associative properties
- x = 4 · ㏒ 3/(㏒ 7 - ㏒ 3) Existence of multiplicative inverse/Modulative property/Result
By taking advantage of the definition of <em>exponential</em> and <em>logarithmic</em> function and their inherent relationship we conclude that the solution is x = 4 · ㏒ 3/(㏒ 7 - ㏒ 3).
To learn more on logarithms: brainly.com/question/20785664
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Answer: 
Step-by-step explanation:
Formula: 
Since the base is a circumference, we can replace B for the area of a circumference formula.
What we have here is 12 ft as the diameter of the circumference. A diameter is twice the radius, therefore we can conclude that if we take the diameter and divide it by 2, it will give us the radius.
this is the radius.
Now plug all this information into your formula.
Our values are in feet but the question requires cm. Let's convert from 
to 
.
Normally, our conversion factors are raised to the power of 1, but in this case it's raised to the power of 3. So, first let's see how many cm are 1 ft.
Here is where magic comes. We can raise both to the power of 3, in order to find the cubic ft and cm that we need as our conversion factors.
Now we have our conversion factors.
Answer:
B. 36 C. 180 D. 240 E. 1,656
Step-by-step explanation:
Partial product is the multiplication of individual digit of a number in turn with each digit of the others where each digit maintains its place.
Using distributive property to multiply 24 × 69 to determine our partial products:
i.e.
24 × 69 = 24 × (60 + 9)
= (24 × 60) + (24 × 9)
= 60 (20 + 4) + 9(20 + 4)
So; we can have:
= (60 × 20) + (60 × 4) + (9 × 20) + (9 × 4)
= 1200 + 240 + 180 + 36
= 1656
Answer:
The area of the Triangle is 1/2 the area of the Rectangle
The answer is D.
Step-by-step explanation:
Ignore the area of the rectangle for the moment, just so you can get the answer.
Area Triangle = 1/2 * b * h
Area Triangle = 1/2 * 8 * 4
Area Triangle = 1/2 32
Area Triangle = 16 square feet.
The area of the rectangle = L * W
L = 8
W = 4
Area of the rectangle = 8*4 = 32
