Question

how do I solve logv4 (y - 9) + logv4 3 = logv4 81?

Answer 1

\[\log _{4} (y-9)+\log _{4} 3=\log _{4} 81\]

Answer 2

First you use the following rule of logs on the left hand side:
\[\log_{a} b+\log_{a} c=\log_{a} (b \times c)\]
Can you do that?

Answer 3

so \[\log _{4} (3y-27)=\log _{4} 81\]

Answer 4

Good work! Now we can state the following:
3y - 27 = 81
and solve for y.

Answer 5

@DeadShot Are you there?

Answer 6

Sorry, I'm taking care of my sick little brother while my parents are away, so y=36, right?

Answer 7

Your answer is correct :)

Answer 8

okay, thanks!

Answer 9

You're welcome :)