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Logarithms and exponents are pretty closely related. What is 3 to the power 4? It is 3 times 3 times 3 times 3. That will equal 81. So the power of the base tells us how many times the base is multiplied with itself. We say that 3 raised to 4 equals 81. We have studied this in exponents. What are logarithms then? Now this exact same thing can be written using logarithms. This can be written as logarithm of 81 to the base 3 is equal to 4. Yes, logarithm can also be written as log. But look at this expression carefully. The power or the exponent is the answer and the base of the log is the base number. So in the log expression, we are asking 3 raised to what will give us 81? 3 raised to 4. The power to which the base of the log needs to be raised to, to get the argument, will be the answer. The power to which 3 needs to be raised to, to get 81, will be the answer. Its 4. Wasnt that simple? Lets look at an interesting problem. Log of 125 to the base 5 is given to us as x