Question

Solve for x in 81^x/4=1/27.
can anyone help me with this?

Answer 1

Can you write 1/27 as an exponential expression with a base of 3, and also write 81 the same way?

Answer 2

E.g.:

81=3^4

so 81^(x/4) = \[(3^4)^{x/4}=3^x\]

Now write 1/27 as 3^?

same bases means that the exponents are equal. So set them equal and solve for x.