Answer:
2
Step-by-step explanation:
i hope this helps
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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Number 3.) The answer to this one is x=-14
That is because when a line is undefined it goes as x = (whatever number it is on)
Currency Ln. is undefined and you have to find a line parallel so that's why it's x = -14
Number 4.)
So it says that the new street will be parallel to Market Blvd. meaning that they will have the same slope
Find the slope of Market Blvd.
Rise/Run
the slope is negative as it goes down from left to right
it goes down 7 and over 1
slope = -7
and it will pass through the point (-1, 5)
to find the y-intercept we plug in the points to y = mx + b
5 = -7(-1) + b
5 = 7 + b
subtract 7 from both sides
-2 = b
Plug all the info into the slope intercept we get:
y = -7x -2
So your answer is G
Number 5.)
If a line is parallel to another line, that means they have the same slope
So here you just need to find the slope of the line named "Bear Street"
Slope is the change in y over the change in x
or the rise/run
The rise is 1
and the run is 7
it is a positive slant as the line goes up from left to right
so the slope is
1/7
Or D.) 1/7
Hope this helps :)
Answer:
2(x+3)(x−5)
Step-by-step explanation:
