Question

Use the properties of logarithms to condense the expression. (Assume all variables are positive)

Answer 1

we have the expression

2log3x+5log3y-2-7log3z

so

applying properties of logarithms

we have that

2log3x=3x^2

5log3y=3y^5

2=log3 (3^2)

7log3z=3z^7

$3x^2+3y^5-3^2-3z^7$

Part 2

In this case we have

log3(x^2g^5) -log3(9z^7)