Question

how do I solve for t in the equation x=9ln(3t) ?

Answer 1

x/9 = ln(3t)

3t = e^(x/9)

t = 1/3*e^(x/9)

Answer 2

To solve for t you raise e to the power of each side.

Answer 3

thanks

Answer 4

\[e^x = e^{9ln(3t)}\]\[\implies e^x = (e^{ln(3t)})^9\]\[\implies (3t)^9 = e^x\]\[\implies 3t = e^{\frac{1}{9}x}\]\[\implies t = \frac{1}{3}e^{\frac{1}{9}x}\]