What is the solution of x^0.926628408=10
x^0.926628408=10 take the (1/0.926628408)th power of both sides:
x = 10^(1/0.926628408) = ~ 12
\(x^{0.926628408}=10\\ 0.926628408\log x = 1\\ \log x = \dfrac{1}{0.926628408}\\ x = \sqrt[0.926628408]{10}\)