Exponential and logarithmic equations


Assignment:

Solve each exponential equation. Express the solution set in terms of natural logarithms. Then use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution.

Q1. 10^x = 8.07

Q2. e^x = 0.83

Q3. 19^x = 143

Q4. 9e^x = 107

Q5. 4e^7x = 10,273

Q6. e^(1-8x) = 7957

Q7. e^(4x-5) - 7 = 11,243

Q8. 5^(x-3) = 137

Q9. 3^(x/7) = 0.2

Q10. 7^(2x+1) = 3^(x+2)

Q11. e^2x - 2e^x - 3 = 0

Q12. e^4x - 3e^2x - 18 = 0

Q13. 2^2x + 2^x - 13 = 0

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Algebra: Exponential and logarithmic equations
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