+0

0
46
4

Find all x  so that  8x^2 * 4= 2. Enter all the solutions, separated by commas.

Mar 8, 2021

#1
+197
+1

Hey there!

This can be altered using exponential laws like so:

$$2^{3x^{2}+2x}=2$$

Taking the logarithm of both sides produces the following.

$$3x^2+2x=1$$

$$3x^2+2x-1=0$$

From this, use the quadratic formula ($$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$$), where $$a=3$$, $$b=2$$, $$c=-1$$. This will give you the two $$x$$ values you are looking for!

Let me know how you get on :)

Mar 8, 2021
#2
0

Thank you so much for helping me understand!!

Guest Mar 8, 2021
#3
0

Thank you so much for helping me understand!!

Guest Mar 8, 2021
#4
+197
+1

No problems, Glad to help :)

lhyla02  Mar 8, 2021