https://file.aiquickdraw.com/mathbot/file/17332652997658dsiumn7.jpg

py import symbols, Eq, solve, exp

# Define the variables
lmbda = symbols('lmbda')  # decay constant
N1 = 2.0 * 10**4  # initial value
N0 = 7.6 * 10**5  # final value
t = 20235  # time

# Define the equation
equation = Eq(N1, N0 * exp(-lmbda * t))

# Solve for the decay constant (lambda)
decay_constant = solve(equation, lmbda)
decay_constant

Learn how to solve for the decay constant (λ) in the exponential decay formula N(t) = N0 * e^(-λt). This problem involves algebraic manipulation and logarithms, suitable for Grades 11-12 students. Explore the detailed step-by-step solution, including the use of exponential and logarithmic properties.

Math Problem Statement

Solution

Define the variables

Define the equation

Solve for the decay constant (lambda)

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