The equation that can be used to find the solution is -d + 5 = 4
Simplifying indices
Given the indices expression below;
[tex](\frac{1}{3} )^{d-5}=81[/tex]
Rewrite to base of 3 to have:
[tex](3^{-1})^{d-5}= 3^4\\3^{-d+5}= 3^4[/tex]
Cancel the base and equate the power
-d + 5 = 4
Hence the equation that can be used to find the solution is -d + 5 = 4
Learn more on indices here: https://brainly.com/question/10339517
#SPJ1
