Question

1/7^(x-1)=1/2401 What is x?

Answer 1

2401 = 7^4
can you solve now?

Answer 2

\[\large \frac{ 1 }{ 7^{x-1} } = \frac{ 1 }{ 2401 } = \frac{ 1 }{ 7^4 }\]

Answer 3

I ended up with x=-3 but my teacher told me my answer needed to be positive.

Answer 4

\[\large \frac{ 1 }{ 7^{x-1} } = \frac{ 1 }{ 7^4 }\]
The only way that is possible is when x - 1 = 4
(because both bases are 7. The only way they can be equal is when the exponents are the same.)
solve x - 1 = 4

Answer 5

ok! i see where I went wrong! Thank you!

Answer 6

you are welcome.