Answered

Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Discover solutions to your questions from experienced professionals across multiple fields on our comprehensive Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

if 8^y=16^y+2 what is the value of y

Sagot :

Laureneon

Answer:

Step-by-step explanation:

First, let’s get the base to be the same number. Then we can look at the exponents and compare!

8^y = 16^(y+2)

2^3y = 2^4(y+2)

3y = 4(y+2)

3y = 4y + 8

-y = 8

y = -8


Hope this helps!

Step-by-step explanation:

[tex]take \: log_{2} \: both \: side \\ \\ y \: log_{2}(8) = y log_{2}(16) + log2 \\ \\ y \times 3 = y \times 4 + 1 \\ \\ 4y - 3y = - 1 \\ \\ y = - 1[/tex]

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.