2log base 3 x -3=4

To solve this equation for x, we first isolate the logarithm term:

2log₃x - 3 = 4
2log₃x = 7

Next, divide by 2 on both sides:

log₃x = 7/2
log₃x = 3.5

Now, rewrite the equation in exponential form:

x = 3^(3.5)

x = 31.6227766017

Therefore, the solution to the equation 2log₃x - 3 = 4 is x = 31.6227766017