## lgg23 5 years ago Solve for x: (9/7)log base 2 of x = -9

1. anonymous

First get the log function by itself: $\frac {7}{9}*\frac {9}{7} *\log_{2}(x)=\frac{-9}{1}*\frac {7}{9}$

2. lgg23

i got it. the answer is 1/128

3. anonymous

Good. Out of curiousity did you use a calculator or convert to base ten logs first?

4. lgg23

Since the problem can be translated to $\log_{2} x^{9/7}=9$. I changed it to exponential form and got $2^{9} = x^{9/7}$

5. lgg23

then i got rid of the exponents by raising them to the reciprocal of that 9/7 and got (2^-7)=x and simplified

6. anonymous

Very nice - I like your method more. :-)

7. lgg23

Thank you.

8. anonymous

Just as it should be solved, exploit those log rules!! ;)