Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Explore our Q&A platform to find in-depth answers from a wide range of experts in different fields. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Find the inverse of your exponential function y= 6995(.85)^x

Sagot :

Medunno13
See the image below:
View image Medunno13
regalmocha17

[tex]y= \frac{\ln(\frac{x}{6995}) }{\ln (.85)}[/tex]

Taking the original function, swap the x and y.

y = 6995(.85)^x  ----> x = 6995(.85)^y

Solve for y.

Divide both sides by 6995.

x/6995 = (.85)^y

Take the natural log of both sides.

ln (x/6995) = ln (.85)^y

Apply the property of logarithms where log a^b = b log a.

ln (x/6995) = y ln (.85)

Divide both sides by ln (.85) to get y.

y = ( ln ( x / 6995)) / ln (.85)

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.