1. I'm taking an online class and I was doing some very simple exponential equations when this was thrown at me, and I have no clue how to solve it.

27^x=1/âˆš3

2. Hello, and welcome to MHB!

We are given to solve:

$\displaystyle 27^x=\frac{1}{\sqrt{3}}$

Can you write both sides of the equation as a power of 3?

3. To follow up, we may write:

$\displaystyle 3^{3x}=3^{-\frac{1}{2}}$

Since we have like bases, we can simply equate the exponents:

$\displaystyle 3x=-\frac{1}{2}\implies x=-\frac{1}{6}$