Solve for: 2^{x-1}=512

Expression: ${2}^{x-1}=512$

Write the number in exponential form with the base of $2$

${2}^{x-1}={2}^{9}$

Since the bases are the same, set the exponents equal

$x-1=9$

Move the constant to the right-hand side and change its sign

$x=9+1$

Add the numbers

$x=10$