Question

Solve. 1 over 25 = 5^(x + 4)?

Answer 1

\[\frac{ 1 }{ 25 }=5^{x+4}\]

Answer 2

same process as the last question the base on both sides of the equation is 5

rewriting

\[5^2 = 5^{x + 4}\]

equate the powers and solve for x

Answer 3

-2, but yes

Answer 4

so is it 1/25 or 25...?

Answer 5

if you couldnt determine a like base, logging it would suffice

Answer 6

oops it should be misread the question.

\[5^{-2} = 5^{x + 4}\]

Answer 7

ln(1/25) = ln(5^(x+4))

ln(1} - ln(25) = ln(5) (x+4)

- ln(25)/ln(5) = x+4

- ln(25)/ln(5) - 4 = x

Answer 8

why not just equate the powers since the bases are the same.

-2 = x + 4

Answer 9

you can, but spose you didnt notice a similarity of bases ...

Answer 10

so x=-6, right?

Answer 11

looks like it...

Answer 12

Okay, thanks!