SOLUTION: Solve for x (1/7)^x=49

Question 80419: Solve for x
(1/7)^x=49
Found 2 solutions by josmiceli, Earlsdon:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

note that

so

also note

now I have

You should know that

now I have

answer
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Solve for x:
But = , so we get:
, therefore x = -2
If you are not comfortable with this approach, here's another one:
Take the logarithm of both sides.
Apply the power rule to the left side.
Divide both sides by
Do this with your calculator.

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