(In this problem, the notation b^x stands for "b to the power x"; for example, b^2 stands for "b squared".)
(A) Simplify the expression: 10^(3x-1)10^(4-x).
(B) Solve the following equation for x: 5^(3x)=5^(4x-2).
(C) Solve the following equation for x: (1-x)^5=(2x-1)^5.
This shows how to simplify and solve exponential expressions.