Simplify the expression without a calculator. Assume each variable expression is defined for appropriate values of \( x \). \( 10^{\log (3 x+3)}= \)

To simplify the expression \( 10^{\log (3x + 3)} \), we can use the property of logarithms that states \( 10^{\log_a(b)} = b \) when the base of the logarithm and the base of the exponent are the same. Thus, we have: \[ 10^{\log(3x + 3)} = 3x + 3. \] This means the expression simplifies directly to \( 3x + 3 \). Now you're ready to tackle problems like a pro!