Solve the Exponential Equation Algebraically $e ^ { 3 x } = 75$

question 182

Multiple Choice

Solve the exponential equation algebraically.Approximate the result to three decimal places. $e ^ { 3 x } = 75$

• A) \(\frac { \ln 75 } { 3 } \approx 0.439\)
• B) \(\frac { \ln 75 } { 3 } \approx 2.439\)
• C) \(\frac { \ln 75 } { 3 } \approx - 0.561\)
• D) \(\frac { \ln 75 } { 3 } \approx 3.439\)
• E) \(\frac { \ln 75 } { 3 } \approx 1.439\)

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Definitions:

NPV Method

Net Present Value method, a financial analysis tool used to determine the value of an investment by discounting future cash flows to their present value.

IRR Method

The IRR method, or Internal Rate of Return method, is a financial analysis tool used to evaluate the profitability of an investment by calculating the interest rate at which net present value of all the cash flows (both positive and negative) from a project or investment equals zero.

Cost of Capital

The rate of return required by a company to undertake an investment or project, often used as a discount rate in capital budgeting.

Payback Method

A capital budgeting technique that calculates the time required to recoup the cost of an investment, ignoring the time value of money.