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
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
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?
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}$