Answer:
d.) x = -40
Step-by-step explanation:
[tex]\sf Given \ equation: \ log_{5} (-3x+5) = 3[/tex]
Solving steps:
[tex]\rightarrow \sf log_{5} (-3x+5) = 3[/tex]
If logₐ(b) = c then b = aᶜ
[tex]\rightarrow \sf -3x+5 = 5^3[/tex]
[tex]\rightarrow \sf -3x+5 = 125[/tex]
[tex]\rightarrow \sf -3x = 125-5[/tex]
[tex]\rightarrow \sf -3x = 120[/tex]
[tex]\rightarrow \sf x = 120/-3[/tex]
[tex]\rightarrow \sf x = -40[/tex]
