Question

How do you solve `3^ { x ^ { 2} - 1} = 729`?

Answer 1

I got: `x=+-sqrt(7)`

Explanation:

We can write:
`3^(x^2-1)=3^6`
the two sides to be equal we need tha the exponents be equal as well:
`x^2-1=6`
`x^2=6+1`
`x=+-sqrt(7)`