did i do this one right?

[Guest]

Solve for x: 4 ^x = 256. x =

a. -1/2
b. 1/2
c. 3/2
d. 5/2
e. 7/2
f. 9/2
g. 11/2
h. none of these IS THIS RIGHT

 

[stapel]

Write each side as a power of 2. Then compare the powers, and solve for x.

If you get stuck, please reply showing how far you have gotten. For instance, 4 = 2^?, and 256 = 2^??, and so forth.

Thank you.

Eliz.

 

[soroban]

Hello, achillesg22!

Solve for \(\displaystyle x:\;\;4 ^x \:= \:256\)

\(\displaystyle (a)\;-\frac{1}{2}\qquad\qquad(b)\;\frac{1}{2}\qquad\qquad(c)\;\frac{3}{2}\qquad\qquad(d)\;\frac{5}{2}\qquad\qquad(e)\;\frac{7}{2}\qquad\qquad(f)\;\frac{9}{2}\qquad\qquad(g)\;\frac{11}{2}\)

. . . . . . . . \(\displaystyle (h)\;\text{none of these}\) , <--- IS THIS RIGHT?

Yes . . .

We have: .\(\displaystyle 4^x \:= \:4^4\qquad\longrightarrow\qquad x \,= \,4\)