(√5 / 25) = 5^{3-x}
How do you find the value of x? My calculator says that x is equal to 4.5. However, can someone please show me the work to finding the answer to this equation? Thanks!
(√5 / 25) = 5^{3-x}
How do you find the value of x? My calculator says that x is equal to 4.5. However, can someone please show me the work to finding the answer to this equation? Thanks!
Hey sameeranand21.
Are you familiar with logarithms in arbitrary bases?
SQRT(5)/25 = SQRT(5)/[SQRT(5)*5*SQRT(5)] = 1/[5*SQRT(5)] = 5^(-3/2) = 5^(3-x).
So you can use logarithms or use the fact that if 5^x = 5^y then x = y (also known as injective property of function).