Question

a student showed the steps below while solving the equation 14=log5(2x-3) by graphing. which step did the student make the 1sr error

Answer 1

Answer: Step 2

Explanation:

This is correct according to Edge 2021

Answer 2

`x= (5^(14)+3)/(2)`

Explanation:

The correct steps to solve the equation are:

`14=log_5(2x-5)`

`5^(14)=5^(log_5(2x-3))`

Because
`a^(log_am)=m`

So, solving we get:

`5^(14)=2x-3`

Sum 3 on every side:

`5^(14)+3=2x-3+3\\5^(14)+3=2x`

Dividing by 2 into both sides:

`(5^(14)+3)/(2)=(2x)/(2)\\(5^(14)+3)/(2)=x`

So, the answer is
`x= (5^(14)+3)/(2)`