Solve for y 3^4y-1=3^2 Show your work here Hint: To add a logarithm, type "log"

To solve the equation $3^{4y-1}=3^{2}$, we can use the property of exponents that states if $a^m = a^n$, then $m = n$.<br /><br />In this case, we have $3^{4y-1} = 3^{2}$, so we can set the exponents equal to each other:<br /><br />$4y - 1 = 2$<br /><br />Now, we can solve for $y$ by isolating the variable:<br /><br />$4y - 1 = 2$<br /><br />$4y = 3$<br /><br />$y = \frac{3}{4}$<br /><br />Therefore, the solution to the equation $3^{4y-1}=3^{2}$ is $y = \frac{3}{4}$.