Answered

Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

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]

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.