Solve the equation: 271−x = 81 without using logarithms.

Question

Do not use log

Answer 1

ACTUALLY, AS THE PROBLEM IS WRITTEN, IT WOULD BE PRETTY HARD TO SOLVE IT USING LOGARITHMS.

When corrected, as "Solve the equation: 27^(1−x)= 81 without using logarithms" use 3^(3*(1-x)) = 3^4; now both sides have the same base, three, and you then EQUATE THE EXPONENTS to get 3(1-x) = 4 and the rest will be quite easy.

Answer 2

271−x = 81

 

subtract 271 from both sides

 

-x = 81-271

-x = -190

x = 190