If you're going to write negative exponents, please enclose them inside parentheses:
12 / c^(-8)
12 8d^2
<span>12/c^-8d^2 becomes --------- - ---------
c^8 1
Here the LCD is c^8, so the above expression becomes:
12 c^8*d^2 12-(c^8)(d^2)
------- - ------------- = ---------------------
c^8 c^8 c^8</span>
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:
ive seen this before its not to teach what you think stay away from it
Answer:
UwU
Step-by-step explanation:
ok good luck then
===> Mr. Jackson bought / . of beef:
===> He cooked / of it for lunch:
Solution ===> Mr Jackson, had 2 / 5 Lbs. left
===>
If he cooked / of it for lunch:
===> Mr Jackson, had
/ of the original amount left.
===> Since ( / )( / )
===> / * /
===> /
Mr Jackson, had
/
.
left.
write the answer as one expression; Then Solve:
(
/ )( −
/ )
8 / 5 ( 1 - 3 / 4 )
= 8 / 5 ( 1 / 4 )
= 2 / 5 ( Decimal: 2 / 5 ====> 0.4 )
Answer, 2 / 5 Lbs.; of beef, Mr Jackson, Had left.
Hope that helps!!!!! : )
Hope that Helps!!!! : )
