Assume that x,y and a are positive numbers. Use the properties of logarithms to write the following expression - log a x^6 y^7

a. 42log a x+y
b. 42log a x+7log a y
c. 6log a x+42log a y
d. 6log a x+7log a y
e. 6log a x+6log a y

1 answer

assuming that "a" is the base

- log a x^6 y^7
= -(loga x^6 + loga y^7)
= -(6loga x + 7loga y)
= -6loga x - 7loga y

none of your choices are correct, unless there is a typo with that minus sign