Question

Y=log(x-3)

what would be the base?

Answer 1

By definition, if :


`a^y = b`


`y = log_a b`

We highlight the following elements:

a = Base of the logarithm;
b = logarithmand or antilogarithm
y = logarithm

Therefore:

Note that since the base was not specified, we know that it is equal to 10.


`y = log_a b`

`y = log_(10) (x-3)`

`10^y = (x-3)`

Answer:

Base of the logarithm = 10