This will give you a start.
The following problems are giving me a little grief, mostly because I'm not exactly sure how the solutions should look. Any help is appreciated, I think my biggest problems is not understanding the language of mathematics!
Problem 1 Solved
If and , find the exact solution to the equation in terms of and .
Problem 2 Solved
Let and . Find an ordered pair of integers such that .
Given , find in terms of .
I got this far on my answer:
But I'm not sure how I could isolate a and b...
I got there just by replace log2 and log3 with a and b on what Plato did, then did the same method that he did on the second expression, , and again replaced log2 and log3 with a and b and came up with the equality above.
Thanks a lot! It seems so clear now that I see it, but this should help me a lot with more problems to come.
I have one more question, though.
On this problem:
Find all real numbers for which .
I did as follows:
Is this the only solution or are there others? This was one of two questions were it asked for "all real numbers", and the other one had multiple solutions.
I think that 0 is the only solution, but how can I be sure?