Solve the equation e^x = 10.

The solution to the equation e^x = 10 is x = ln(10).

To solve this equation, we need to take the natural logarithm of both sides. Recall that the natural logarithm is the inverse of the exponential function e^x, so ln(e^x) = x. Applying this to our equation, we get:

ln(e^x) = ln(10)

x = ln(10)

Therefore, the solution to the equation e^x = 10 is x = ln(10). This is an exact solution, and we can use a calculator to approximate it to any desired degree of accuracy.

Study and Practice for Free

Trusted by 100,000+ Students Worldwide

Achieve Top Grades in your Exams with our Free Resources.

Practice Questions, Study Notes, and Past Exam Papers for all Subjects!

Need help from an expert?

4.93/5 based on525 reviews

The world’s top online tutoring provider trusted by students, parents, and schools globally.

Related Maths a-level Answers

    Read All Answers
    Loading...