Write the log equation as an exponential equation. You do not need to solve for x. log_(4x)(3x)=(3)/(7)

To convert the logarithmic equation \( \log_{4x}(3x) = \frac{3}{7} \) to an exponential equation, follow these steps:<br /><br />1. Identify the base of the logarithm, which is \( 4x \).<br />2. Recognize the argument of the logarithm, which is \( 3x \).<br />3. The equation \( \log_{4x}(3x) = \frac{3}{7} \) means that \( 4x \) raised to the power of \( \frac{3}{7} \) equals \( 3x \).<br /><br />So, the exponential form of the equation is:<br />\[ 4x^{\frac{3}{7}} = 3x \]<br /><br />This is the exponential equation corresponding to the given logarithmic equation.