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:
The value of 'x' is 17.
Step-by-step explanation:
Given:
Δ IJK ≅ ΔPQR
m∠I = 3x + 4
m∠P = 72 - x
To Find:
x = ?
Solution:
Δ IJK ≅ ΔPQR ...........Given
If two triangles are congruent then the corresponding angles of congruent triangles are congruent.
∴∠ I ≅ ∠ P ........corresponding parts of congruent triangle (CPCT)
Substituting the values we get
The value of 'x' is 17.
Divide across and see if its proportional meaning that is the same... The answer is 2 so its proportional Hope this helped Im not good at Math but i do understand this i learned it a few days ago Im not a professional though lol I just know how to do this stuff and percents a percent over 100 and X over the number if you ever need help there just like Fractions message me i know how to do proportional relationships Ill try..
If you're finding the value of z, z would equal 13/2 or 6.5
:)
The domain is the set of all possible values of independent variable I.e of x. The range is the complete set of all possible resulting values of the dependent variable of i.e of y