Hello,

You know that log(a)+log(b)=log(ab)log (2-3x) + log (3-2x) = 1.5

So

And you can continue by developping what's in brackets and taking the exponential (beware of the domain of the function)

Since , you can transform the previous equation :logbase7(1-x) - logbase7(x+2) = logbase7(x^2)

Since log(a)-log(b)=log(a/b), it's the same as :

And if log(a)=log(b), then a=b