solve the equation. give an exact solution, and also an approximate solution to four decimal places.

Question

2^(9x-7)=7

My first step was to change it to
log(base 2) 7 = 9x-7
i got 1.0897
Did i do something wrong or did i miss one question?

Answer 1

just take log of both sides

log (2^(9x-7)) = log 7
(9x-7) log2 = log7
9x - 7 = log7/log2
etc.

your answer is correct, see

http://www.google.ca/search?hl=en&source=hp&q=%28%28log%287%29%2Flog%282%29%2B7%29%2F9&btnG=Google+Search&aq=f&aqi=&aql=&oq=

Answer 2

[9x -7] log 2 = log 7
Any log base can be used, as long as it is the same for both sides.
9x - 7 = 2.807
9x = 9.807
x = 1.0897

Your answer is correct!