Solve for x over the real numbers:
3.125 = 5^(3^x-10)
3.125 = 25/8:
25/8 = 5^(3^x-10)
25/8 = 5^(3^x-10) is equivalent to 5^(3^x-10) = 25/8:
5^(3^x-10) = 25/8
Take the logarithm base 5 of both sides:
3^x-10 = (log(25/8))/(log(5))
Add 10 to both sides:
3^x = 10+(log(25/8))/(log(5))
Take the logarithm base 3 of both sides:
Answer: | x = (log(10+(log(25/8))/(log(5))))/(log(3))=2.15816660608178
