Verified answer

1) log₁₁ (7-2x)=log₁₁(13)

log₁₁(7-2x)=log₁₁(13), x<7/2

7-2x=13

-2x=13-7

-2x=6

x= -3, x<7/2

2) log₁₅ (x+5)=0

log₁₅ (x+5)=0, x>-5

x+5=1

x=1-5

x=-4, x>-5

x=-4

3)log₂₇ (3+x)=0

log₂₇ (3+x)=0, x>-3

3+x=1

x=1-3

x=-2, x>-3

x=-2

4)log₃₁ (2+x)=0

log₃₁(2+x)=0, x>-2

2+x=1

x=1-2

x=-1, x>-2

x=-1