Question

Solve and write the exact value of In(2x-1)=5

Answer 1

x = 1/2 (e^5+1)

Explanation:

In(2x-1)=5

Raise each side to the base e

e^ In(2x-1)=e^5

2x-1 = e^5

Add 1 to each side

2x-1+1 = e^5 +1

2x = e^5 +1

Divide by 2

2x/2 = 1/2 (e^5+1)

x = 1/2 (e^5+1)