Question

can someone please explain to me how to solve this log problem :(

16^w+4^(w+1/2) = 3

Answer 1

so far I have

Answer 2

i'm stuck here

Answer 3

i just use the exponent concept :
16^w + 4^(w+1/2) = 3
(4^w)^2 + 4^1/2 * 4^w - 3 = 0
(4^w)^2 + 2 * 4^w - 3 = 0
(4^w + 3)(4^w - 1) = 0
take each factor be equal zero, then solve for w

Answer 4

ah ok i see... i have to get used to seeing the quadratic equation in the problems.

Answer 5

yep, that i mean. so, did you get it ?

Answer 6

yes w= 0 thanks =)

Answer 7

from quadratic equation x= 1 so 4^w= 1 so w = 0

Answer 8

thank you!

Answer 9

that's right, only w = 0 as the solution

welcome :)