Write the equation in exponential form. Assume that all constants are positive and not equal to 1 . \( \log _{q}(v)=z \)

To write the equation \( \log_{q}(v) = z \) in exponential form, we convert the logarithmic expression into its equivalent exponential form. This gives us \( v = q^{z} \). In this form, the base \( q \) raised to the exponent \( z \) equals the value \( v \). If you're curious about how logs and exponents relate beyond this example, think about their use in real-world applications like finance. For instance, when calculating compound interest, you'll often encounter logarithmic functions to determine the time needed to reach a certain amount, helping investors make informed decisions while maximizing their profits!