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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The correct sum of the polynomial is 
.
We have to determine
The correct sum of the polynomials.
<h3>
Sum of the
polynomials</h3>
Sum of the polynomials is just a matter of combining like terms, with some order of operations.
Then,
The correct sum of the polynomial is;
Hence, the correct sum of the polynomial is .
To know more about the sum of the polynomial click the link is given below.
brainly.com/question/9465649
Answer:
H0 : μEng = μBio
H1: μEng ≠ μBio
Step-by-step explanation:
μEng = Engineering average gpa
μBio = Biology average gpa
To test for difference between two sample means , in this case grade point average of biology majors and Engineering major.
Null hypothesis is the initial truth, which is that ; there is no difference in the mean grade point average of both biology and engineering majors
H0 : μEng = μBio
The Alternative hypothesis is the opposite of the null, which is stated has ; there is difference between the average GPA of both Engineering and Biology majors
H1: μEng ≠ μBio
Answer:
"simplify"
Step-by-step explanation:
The notion of <em>simplifying</em> an expression depends on the expression. For the one offered as an example, the simplification steps required are eliminating parentheses and combining like terms.
Other possible simplification steps include combining fractions, reducing fractions, and rationalizing denominators (eliminating surds or complex numbers).
It appears the vocabulary word that is desired in the blank is <u>simplify</u>.
Answer:
<h2>(k ∘ p)(x) = 2x² - 16x + 25</h2>
Step-by-step explanation:
k(x) = 2x² - 7
p(x) = x - 4
To find (k ∘ p)(x) substitute p(x) into k(x),
that's replace any x in k(x) by p(x)
We have
(k ∘ p)(x) = 2(x - 4)² - 7
Expand
(k ∘ p)(x) = 2( x² - 8x + 16) - 7
= 2x² - 16x + 32 - 7
Simplify
We have the final answer as
<h3>(k ∘ p)(x) = 2x² - 16x + 25</h3>
Hope this helps you
