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