Question

3^(x+2)=8

Answer 1

Since you cannot change 8 to the base 3, take logs of both sides.

Answer 2

[\log[3]3^(x+2) = \log[3]8\]

Answer 3

x+2 = log[3]8 so far?

Answer 4

x= log[3]8-2. Not sure if this is correct.

Answer 5

A bit hard for me to read/understand your notations.

Answer 6

(x+2) log 3 = log 8

x + 2 = log 8/log 3

Therefore, x = (log 8/log 3) - 2

Is that what you have?

Answer 7

can you show me how you took the logs for both sides? I got something similar but not exactly that.

Answer 8

log (3^(x+2)) = (x+2) times log 3

Answer 9

or just (x+2) (log 3)

Answer 10

Got it, thanks so much!

Answer 11

welcome.