What is the solution to the equation? 1/sqrt8 = 4^(m+3)?

My answer - m=5/4

Question

What is the solution to the equation? 1/sqrt8 = 4^(m+3)?

My answer - m=5/4

hartnn · Answer

-3/2 = 2(m+3)
-3 = 4m+12
hmm....
how you got m=5/4 ??

anonymous · Answer

wow you have an "A" next to your name!!!!! okay I plugged it in and that's what I got. I knew it have to be positive.

hartnn · Answer

can you try solving it? 
8 = 2^3 
sqrt 8 = 2^{3/2}
4 = 2^2
plug these in!

anonymous · Answer

wait I did it a different way this time

anonymous · Answer

I got -15/4?

hartnn · Answer

thas correct! good :)

anonymous · Answer

really? yesss!!!!!!!!!! :)))))) thank you!!!!

hartnn · Answer

welcome ^_^
and thats A is because i am the Ambassador of Openstudy now :D

anonymous · Answer

oh my gosh congrats!!!!! you deserve it!!!!!! what does that mean for you now?

hartnn · Answer

thank you! :) 
that means i welcome new users here and make it easy to browse this site and make them feel good about coming here for getting and giving help :)

anonymous · Answer

That's so great of you! I wouldn't want it to be anyone else but you! Good luck ;)

hartnn · Answer

thanks again :)