I have encountered some challenging sums when doing my revision for my math test. Please try to help me as I will be doing the test tomorrow.
Here are the sums:
1)Find the exact value of x if (3x)^lg3=(4x)^lg4.
2)Without using a calculator, evaluate (lg 5)^2 + lg 2 lg 50.
3) Solve x in terms of a given that log base a 5 + 2= log base a (x+a) + log base a (x-3a).
Help would be appreciated. Thanks in advance.