Knowee
Questions
Features
Study Tools

Enter the correct answer in the box.Rewrite this exponential equation as a logarithmic equation.4⁢e𝑥=16

Question

Enter the correct answer in the box.

Rewrite this exponential equation as a logarithmic equation.

4ex=16 4e^{x} = 16

🧐 Not the exact question you are looking for?Go ask a question

Solution

Sure, let's rewrite the given exponential equation 4ex=164e^x = 16 as a logarithmic equation step by step.

  1. Isolate the exponential term: Divide both sides of the equation by 4 to isolate exe^x. ex=164 e^x = \frac{16}{4} Simplify the right side: ex=4 e^x = 4

  2. Rewrite in logarithmic form: Recall that the natural logarithm (ln) is the inverse of the exponential function with base ee. The equation ex=4e^x = 4 can be rewritten using the natural logarithm as: x=ln(4) x = \ln(4)

So, the logarithmic form of the given exponential equation 4ex=164e^x = 16 is: x=ln(4) x = \ln(4)

This problem has been solved

Similar Questions

Enter the correct answer in the box.Rewrite this exponential equation as a logarithmic equation.4⁢e𝑥=16

Find the exact solution of the exponential equation in terms of logarithms.e7 − 8x = 18

Select the correct answer.What is the value of this logarithmic expression?log2⁡16−log2⁡4 A. 6 B. 3.58 C. 0.60 D. 2

Assume that y𝑦 varies directly with x𝑥. If y=4𝑦=4 when x=2𝑥=2, find y𝑦 when x=16𝑥=16. y=𝑦= Answer 1 Question 20

The value of y is directly proportional to the value of x. If y = 8 when x = 16, what is the value of y when x = 24 ?

1/1

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.