Which are possible first steps in solving the equation 4^x+3 = 18?

Option 3: take base-4 log each side

In case of multiple answers:

Options 3,4 & 5

Step-by-step explanation:

4^(x+3) = 18

Apply log4 both sides to being the power down

You can take log with any other base too.

In case of multiple answers, options 4 and 5 are also valid

Take the log of each side, any base will work

so log4, loge or log10

Step-by-step explanation:

4^ (x+3) = 18

Take the log of each side

loga (4^ (x+3)) = loga 18

We can the take the exponents outside of the log

(x+3) loga 4 = loga 18

Divide each side by loga 4

(x+3)  = loga 18 /loga 4

Subtract 3 from each side

x =  loga 18 /loga 4 -3

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

the lateral surface area of a sphere is 2πrh where h=2r.

then:

surface area = 4πr^2.

in this case, r=8 units ⇒ surface area = 4π(8 units)^2. = 256π sq. units!

then, the surface area of the sphere shown in the image is: 256π sq. units!