Solve simple logarithm equation?

1) 5^x=38 xln(5) = ln(38) x = ln(38)/ln(5) x= 2.2601 So in #1 the point is to learn what a logarithm is, and start to learn the properties that it has. The definition of a log is basically the inverse of raising something to a power. The base of log can change.

If it is just the word Log then the base is ten, if it is a number then the base is the number, there is a special case that the base is a very special Number 2.71.. that Number is called 'e' and when that is the base we just use the letters ln in #1 the base does not matter, my calculator can do base 10 and e I will use base e. Logging both sides is a legal math operation (like taking the square root of both sides) HERE IS THE COOL PART... after logging any power can com out infront of the problem and it becomes just a multiply. In number 1 you use the ln function on the Calculator 2 is the same as #1 but you move the 12 to the right first 4^x = 18-12 x = ln(6)/ln(4) x = 1.29 3 this is not really something to SOLVE.

The next log propriety to learn is called CHANGE OF BASE. Look that one up. It allows for a log of type x yo be changed to type y in this case you have log 7 (which I DO NOT have on my Calculator) so will change it to base 'e' ln (i can also do it in base ten "LOG") x = ln(600)/ln(7) same base top and bottom, number on top original base on bottom.

I cant really gove you an answer,but what I can give you is a way to a solution, that is you have to find the anglde that you relate to or peaks your interest. A good paper is one that people get drawn into because it reaches them ln some way.As for me WW11 to me, I think of the holocaust and the effect it had on the survivors, their families and those who stood by and did nothing until it was too late.