SOLUTION: Solve this equation for x by first rewriting both sides as powers of the same base (1/3)^x=9 I know that the answer is -2, but how do we get there? Thanks

Question 1000522: Solve this equation for x by first rewriting both sides as powers of the same base
(1/3)^x=9
I know that the answer is -2, but how do we get there? Thanks
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Solve this equation for x by first rewriting both sides as powers of the same base

an exponent of -1 gives us the reciprocal, nine is 3 squared

therefore
-1x = 2
x = 2/-1
x = -2
RELATED QUESTIONS
solve each equation for x by first rewriting both sides as powers of the same base.... (answered by lwsshak3)

2^(7-3x)=(1/4) Solve this equation for x by first rewriting both sides as powers of the... (answered by solver91311)

10-53. Solve each equation by first rewriting the expressions in each part with the same... (answered by MathLover1)

Solve the equation 3^(4x+2) =9^(x-1) (Hint: Write both sides as a power of 3 and then... (answered by richard1234,stanbon,ewatrrr)

solve each equation by first rewriting the expression in each part with the same base.... (answered by josgarithmetic)

solve each equation by first rewriting the expression in each part with the same base c. (answered by MathLover1,jorel1380,MathTherapy)

I am really stuck on how to answer this question, it says solve the following equation..... (answered by Edwin McCravy)

I have been told I need to turn my logs into exponents to solve this equation but I am... (answered by ewatrrr)

3x+4=5(6-2x) 1. After rewriting the equation, what would be your first step? Perform... (answered by rfer)