Simplify log(base 7)X^3-log(base 7)X
log7 (x^3/x^1) = log 7 (x^2) = 2 log7 x
To simplify the expression log(base 7)X^3 - log(base 7)X, we can use the properties of logarithms.
The first property we'll use is the quotient rule: log(base b)(A/B) = log(base b)A - log(base b)B.
Using this rule, we can rewrite the expression as:
log(base 7)(X^3 / X)
Next, we simplify the numerator of the expression:
X^3 / X = X^2
Now our expression becomes:
log(base 7)(X^2)
Therefore, the simplified expression is log(base 7)(X^2).