What is the value of x if e^3x+6 =8? Answer:
2 answers:
Answer:
x = 1/3 ln(2) or approximately 0.23104
Step-by-step explanation:
e^3x+6 =8
Subtract 6 from each side
e^3x+6-6 =8-6
e^3x =2
Take the natural log of each side
ln( e^3x) =ln(2)
3x = ln(2)
divide by 3
3x/3 = 1/3 ln(2)
x = 1/3 ln(2)
x is approximately 0.23104
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra II</u>
Natural logarithms ln and Euler's number e Logarithmic Property [Exponential]: Solving logarithmic equations Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<u>Step 2: Solve for </u><em><u>x</u></em>
[Equality Property] Isolate <em>x</em> term: [Equality Property] ln both sides: Rewrite [Logarithmic Property - Exponential]: Simplify: [Equality Property] Isolate <em>x</em>:
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Step-by-step explanation:
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Subtract 335 from each side
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