How do you solve:
log (1/3) 1 ?
let z = log(1/3) 1
(1/3)^z = 1
z = 0 because (1/3)^0 = 1
so
log(1/3)1 = 0
in fact log to any base of 1 is zero
To solve the expression log(base 1/3)1, we need to understand how logarithms work.
The logarithm of a number represents the exponent to which a base must be raised to obtain that number. In this case, the base is 1/3, and we want to find the exponent that gives us 1.
In other words, we need to find x such that (1/3)^x = 1.
To solve for x, we can rewrite the equation using exponent rules. Recall that any number raised to the power of 0 is equal to 1:
(1/3)^x = (1/3)^0
Since both sides have the same base, we can equate the exponents:
x = 0
Therefore, the solution to log(base 1/3) 1 is 0.