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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No not rational because you cant divide it
Answer:
$72 earned on monday
Step-by-step explanation:
Delta pays Pete Rose $360 per day in the maintenance department at air port. Pete became I'll Monday and went home after 1/5 of a day
Delta works for only 1/5 of the day
To get the amount earn , multiply the work done by the rate
So $72 earned on monday
Answer: 325/790 rounded to the nearest hundredths place is <em>0.41</em>
Step-by-step explanation:
if you divide 325/790 you get 0.411 and some other numbers. We only need to focus on these 3 numbers. 4 is the tenths place value and the first 1 is in the hundredths place value. Sense the second 1 (which is in the thousandths place value) is less than 5, we don't round the 1 in the hundredths place value up. Meaning your answer is 0.411.
Hopefully this makes sense.
A= 11/12 i hope this helped !!!
