Write the following in \log form: Make \( y \) the subject. 1 \( \quad x=3^{y} \)

To express the equation \( x = 3^y \) in logarithmic form, we rewrite it as \( y = \log_{3}(x) \). This means that \( y \) represents the exponent to which the base \( 3 \) must be raised to obtain \( x \). Essentially, if you know \( x \), you can find \( y \) by calculating the base \( 3 \) logarithm of \( x \). Additionally, remember that logarithmic functions are the inverses of exponential functions. This property can be incredibly helpful when solving equations or modeling real-world phenomena where growth or decay is involved, such as in finance, population studies, or computer science algorithms. By understanding the relationship between these forms, you can tackle a wide range of mathematical problems!