Question

Help needed majorly!
9^(x-1)=243^(2x)
Attachment posted

Answer 1

Answer Choices:
A. x=-4
B. x=-1
C. x=-1/4
D. x=-1/8

Answer 2

does it help to know that
\[3^5=243\]

Answer 3

Im still confused

Answer 4

\[9^{x-1}=243^{2x}\]\[ 3^{2(x-1)}=3^{ 10 x} \]
\[2(x-1)=10x\]\[2x-2=10x\]\[-2=8x\]\[-1/4=x\]

Answer 5

C.

Answer 6

the trick was to get the bases the same