Answer: [tex]x = 4[/tex]
Step-by-step explanation:
Given :
[tex]3^{x-1} = 27[/tex]
27 can also be written in index form , so the equation becomes
[tex]3^{x-1} = 3^{3}[/tex]
since they have the same base , we will equate their power , that is
[tex]x - 1 = 3[/tex]
[tex]x = 4[/tex]
Answer: x=10
Step-by-step explanation:
Basically you will first have to 3^(x-1). It's just x-1 but repeated 3 times:
x-1+x-1+x-1=27 now, combine like terms:
x+x+x-1-1-1=27 ---> 3x-3=27 Get 3x by itself by adding 3 to -3 and 27:
3x-3+3=27+3
3x=30 Now Divide.
3x/3=30/3
x=10
