Question

Solve. 81^x = 27^x + 2
My answer: x = 2

x = 1

x = 2

x = 5

x = 6

Answer 1

ok that was wrong
lets try again
\[3^{4x}=3^{3x+6}\]

Answer 2

how would I solve that?

Answer 3

since \(3^4=81\) and \(27=3^3\)

Answer 4

since we arranged it so the bases are the same, then the exponents must be the same
that was the point of making the bases equal
solve
\[4x=3x+6\]

Answer 5

oh, okay, I see now!!!

Answer 6

ok good!

Answer 7

I got 6 as my answer on my paper

Answer 8

yes that should be right
you can check it if you have a calculator
that is check that \(81^6=27^8\) it is too much to do by hand, they are huge numbers

Answer 9

okay i will right now

Answer 10

thank you so much

Answer 11

yw