Question

Solve. 11^x – 1 = 11^5x –19

Answer 1

We have
\[11^{x-1}=11^{5x-19}\]
equate the powers both sides
\[x-1=5x-19\]
swapping the sides
\[5x-19=x-1\]
Add 19 to both sides
\[5x=x-1+19\]
subtract both sides by x
\[5x-x=18\]
or
\[4x=18\]
we get
\[x=4.5 or \frac{9}{2}\]