1. I'll list the properties of logarithms and I'll do one as a model for the others.
The question said that you need to take a common factor of the smaller exponent. Obviously, you can see that x-1 is common, so take the one with the smaller exponent.
3. First, you need to combine the fractions in the numerator.
Their Least Common Denominator is x(x+1). Here's how you combine them:
Can you continue?
4. Take a look at this post.
5 & 6. I'll list the properties of exponents just in case you don't remember them:
Also, remember the principal of powers:
If a = b, then
Alrighty now? Let's go back to the original question:
Now, let's get rid of the fractional exponent by cubing both sides.
So this becomes a quadratic form:
Now, we have to solve for x. Use the quadratic formula:
Now, for number 6: look again at the properties of exponents. What did I say a^0 equals to?