Before moving direct into the problems of logarithms, let's see what we need to know about logarithms.
"Logarithm" comes from two Greek words; "logos" meaning "proportion or ratio" and "arithmos" meaning a "number" which together makes "ratio-number".
Logarithm is the inverse function to exponentation, as it answers the question how many of one number do we multiply to get another number?, that means the logarithm of a given number x is the exponent to which another fixed number, the base x, must be raised to produce that number x.
The logarithms of a positive real number x with respect to base b (a positive real number and b ≠ 1) is the
exponent by which b must be raised to give x.
From above definition, it means: `b^y = X` which implies that `y = log_b X`
log is denoted loga x pronounced log of x to base a or the base-a, logarithm of x or the logarithm, base a of x.
There are two types of Logarithms:
If `X > 0, Y > 0, a > 0, b > 0` and `a ne 1, b ne 1` and `n` is any real number, then;
Now, let's move in. Solved Logarithmic questions