Rewrite the equation using the properties of logarithms:
e^ln(x+3) = e^7
Exponentiation and ln are inverse functions so the equation simplifies to:
x + 3 = e^7
Subtract 3 from both sides:
x = e^7 -3
Raise e to the power of 7 and subtract 3 from that:
x = 1093.633 ( Rounded to the nearest hundredth).
Answer:
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Step-by-step explanation:
Given that the first term of the sequence is –1.5, the next term of the sequence would be 3
<h3>How to determine the next term?</h3>
The recursive function is given as:
f(n + 1) = -2f(n)
Substitute 1 for n
f(1 + 1) = -2f(1)
Evaluate
f(2) = -2f(1)
Given that the first term is -1.5, the equation becomes
f(2) = -2 * -1.5
Evaluate
f(2) = 3
Hence, the next term of the sequence is 3
Read more about sequence at:
brainly.com/question/6561461
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