Answer:
A
Explanation:
Using the properties of logarithms, we can simplify the expression:
4 log3x + 6 log3y - 7 log3z = log3x^4 + log3y^6 - log3z^7
Now, we can use another property of logarithms, which states that:
loga (mn) = loga m + loga n
Using this property, we can combine the logarithms with addition or subtraction:
log3x^4 + log3y^6 - log3z^7 = log3(x^4 * y^6 / z^7)
Therefore, the simplified form of 4 log3x + 6 log3y - 7 log3z is log3(x^4 * y^6 / z^7).