a) \( h=3^{x}=27 \)

To solve the equation \( h=3^{x}=27 \), we can recognize that \( 27 \) can be rewritten as a power of \( 3 \). Specifically, \( 27 = 3^3 \). Therefore, we can set the exponents equal to each other: \( x = 3 \). So, for \( h = 3^{x}\), when \( x = 3 \), h equals \( 27 \). To double-check, we can plug \( x = 3 \) back into the original equation to ensure it holds true. Calculating \( 3^3 \) indeed gives us \( 27 \), confirming that we solved the equation correctly!