help on some logarithms problems?

Question

I don't understand how to do these problems:

evaluate without using a calculator log7 1/49

expand the expression log4 3x^-1y^3

condense the expression log3 32-2log3 x

thanks for the help!!!

Answer 1

evaluate without using a calculator log7 1/49
= log7 1 - log7 49 = -2

expand the expression log4 3x^-1y^3
= log4 3y^3 - log4 x
= log4 3 + 3log4 y - log4 x

condense the expression log3 32-2log3 x
= log3 32/x^2

Answer 2

1)

7^2 is 49..
now when it's 7^ negative 2, it wud be 1/49..

so that would be log7 1/49 = -2

2)
expand.. the answer to that one wud be

= 1/3 log4 x - 3 log y

3)
condense..

= log3 32 / x squared


i hope ul understand how i got them....