Final answer:
The solution to the exponential equation involves isolating the exponential term on one side of the equation, taking the natural logarithm of both sides, and solving for x.
Step-by-step explanation:
The question involves solving an exponential equation. Unfortunately, the referenced notes mainly entail the application of scientific notation, wherein you change the original number into a format that has the first digit, followed by the decimal point, and the remaining digits multiplied by 10 to the power equal to the number of places the decimal has been moved. The exponential equation given in the query requires a different approach.
First, let's write down the equation: 107e⁶ˣ-⁷=172. You are looking to find the value of x. Let's isolate the exponential term on one side of the equation:
e⁶ˣ-⁷ = 172/107.
Next, we can solve this equation by taking the natural logarithm (ln) of both sides which gives:
⁶ˣ-⁷ = ln (172/107).
Now, solve for x.
Please note that this kind of problem usually requires the use of a calculator with the capability to compute logarithms. Depending on the calculator used, the solution may slightly vary when rounded to the nearest four decimal places.
Learn more about Solving Exponential Equation