Question

What is the solution of log2x − 3125 = 3? (1 point)

Answer 1

We have been asked to find the solution of

${Log_{(2x-3)}}^{125}=3\\ \\ \text{we can re-write after Removing logarithm as below}\\ \\ (2x-3)^3=125\\ \\ (2x-3)^3=5^3\\ \\ \text{Now take cubed root on both the sides we get}\\ \\ 2x-3=5\\ \\ \text{Add 3 on both the sides we get}\\ \\ 2x=8\\ \\ \text{Divide both the sides by 2 we get}\\ \\ x=4$