2^(x + 3) = 7. I ended up with x = 20.2534966 but it wasn't one of the answer choices

Question

anonymous · Answer

What were the choices? Were they exact or decimal?

anonymous · Answer

x ≈ -5.19
	x ≈ 0.94
	x ≈ -0.19
	x ≈ 2.81

anonymous · Answer

$$x=\log_{2} (7)-3=\frac{\ln 7}{\ln 2}-3$$

anonymous · Answer

oh. How do i get that? i got (x+3)log 2 = 7 lol

lgbasallote · Answer

it should be $$(x+3)\log 2 = \log 7$$
if you're going that way

lgbasallote · Answer

then divide both sides by $\log 2$
$$x+ 3 = \frac{\log 7}{\log 2}$$
$$x = \frac{log 7}{\log 2} - 3$$

anonymous · Answer

oh so you're supposed to single out the x if there's only one in the equation?

lgbasallote · Answer

yup. and also because you're looking for x

lgbasallote · Answer

wow what a coincidence...the result is one of the choices ;)

anonymous · Answer

ah i see. alright thanks :D