Solve the equation. (Enter your answers as a comma-separated list.)
4^3x + 4 = 4^5x − 2

Question

Solve the equation. (Enter your answers as a comma-separated list.)
4^3x + 4 = 4^5x − 2

anonymous · Answer

In this equations like this where you have the same base you can feel free to ignore the bases (which is 4) and just solve out the exponents. Knowing that can you solve  "3x+4 = 5x -2" for x?

anonymous · Answer

x=2?'

anonymous · Answer

Lets find out.   The best way to do this is to subtract 3x from both sides and you get 4 = 2x -2. From there you can add two to both sides and you get 6 = 2x. What do you do fro m this point to get x by itself?

anonymous · Answer

divide by 2 to get 3

anonymous · Answer

correct. so the answer would be 6/2 = x  and simplified thats what?

anonymous · Answer

x=3. but the question asks for answers as a comma separated list? is there more than one?

anonymous · Answer

there shouldn't be in this instance. When you have the same bases you can just solve the exponents out leaving x = 3.

anonymous · Answer

okay, thank you so much

anonymous · Answer

mhmm