alexisjflora alexisjflora
  • 11-02-2021
  • Mathematics
contestada

find the inverse of the exponential function y=3^x

Respuesta :

GeorgePP
GeorgePP GeorgePP
  • 11-02-2021

Answer:

Step-by-step explanation:

Switch the x and y variables

[tex]x=3^y[/tex]

Solve for the new y value by taking the natural log of both sides

[tex]ln|x|=y*ln(3)[/tex]

Divide both sides by the natural log of 3

[tex]\frac{\ln|x|}{\ln(3)} =y[/tex]

Answer Link

Otras preguntas

Which material are you most likely to find in the C horizon? A. Bedrock B. Parent material C. Plant roots D. Humus
What is the easiest way to find a geometric mean?
Which additional word in the sentence should be capitalized? Andy's favorite professional hockey team is the bruins. A. Favorite B. Hockey C
What the answer is....I need to know which answer goes best with the question
How many chambers does the human heart have?
Is -half greater than or less than -one sixth
A carnival charges a $5 admission fee plus $1 per ride. How many rides can you afford if you have $10 to spend ?
Based on what you learned in the lesson, what is the right to privacy? Give your response in the form of at least two complete sentences.
In what way was Dr. J. Craig Venter a leader in the field of medical research? A.He combined research with Dr. Francis Collins to help map the human genome.B.He
What is the difference between fiction and nonfiction? Fiction tells made up stories, while nonfiction tells true stories. Nonfiction comes in hardback form, wh