
#1
February 14th, 2018,
00:05
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

February 14th, 2018 00:05
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Pessimist Singularitarian
#2
February 14th, 2018,
00:14
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?

Pessimist Singularitarian
#3
February 15th, 2018,
16:06
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}$