To write the given equation in logarithmic form, we should recall the definition of a logarithm.
x= b^y ⇔ log_b x=y
The above relationship tells us that the logarithm y is the exponent to which b must be raised to get x. Let's now apply the definition to the given equation.
10^4= 10000 ⇔ log_(10) 10000=4
The above means that 4 is the exponent to which 10 must be raised to obtain 10000.
