Hello PaymemoneyYou are correct down to here. But what's this?Surely you mean:

which is equivalent to the answer in the book. (Just multiply top-and-bottom by .)

Just use the rules of indices:2)Simply:

Not sure how to start this.and:to write:

I'm not sure how you got this:3)Solve for x given that:On the RHS, use the rule:to get:And then use:

to get:

No. You must combine the RHS into a single logarithm:4)Solve for x given:

This is what i have done:

Grandad

, using the fact that .