Question

Solve for x: (9/7)log base 2 of x = -9

Answer 1

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

Answer 2

i got it. the answer is 1/128

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

Thank you.

Answer 8

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