Evaluate the following. Show all of the steps required log81 27
To evaluate log81 27, we are solving for x in the equation 81^x = 27.
First, we rewrite 81 and 27 as powers of the same base (3) since 81 = 3^4 and 27 = 3^3.
So, the equation becomes 3^4x = 3^3.
We can now drop the bases and set the exponents equal to each other.
4x = 3
Now, divide both sides by 4 to solve for x:
x = 3/4
Therefore, log81 27 = 3/4.