solve 3^(x + 4) = 50

Question

agreene · Answer

log base 3 both sides and you get
log _3 (x+4) = log _3 (50)
from there you should be able to find your answer.

anonymous · Answer

i really dont know this, can you walk me through pls
i will greatly aprreciate it. i need to understand this for a test, it isnt just a homework question

anonymous · Answer

3^(x+4) = 50

We have unknowns in the numerator. We use logarithms.

Take a logarithm on both sides (could be base e or base 10 , it doesn't matter as long as you take the same base log on both sides.

I will use base 10.

anonymous · Answer

log [ 3^(x+4)] = log(50)

Now we use the rule  log[x^n] = n log(x) , that is powers inside the logartithm can be brought out the front as factors.

(x+4) log(3) = log(50)

Now solve it for x

(x+4) = log(50) / log(3)

anonymous · Answer

$$x= \frac{\log(50)}{\log(3)}-4 = -0.439$$

anonymous · Answer

If you sub into orginal equation it checks out.