# Solve for #x#, given #3 log^2 (x-1) - 10 log (x-1) = -3#?

##### 1 Answer

Oct 23, 2017

See explanation.

#### Explanation:

We can solve this equation by frst substituting

#t=log(x-1)#

The equation turns into:

#3t^2-10t+3=0#

To solve the equation we use the quadratic formula:

#Delta=b^2-4ac#

#Delta=(-10)^2-4*3*3#

#Delta=100-36=64#

#sqrt(Delta)=8#

Now we have to calculate the values of

Answer:

**The equation has #2# solutions:**