4 Find the exact and approximate solution of the equation97

4. Find the exact and approximate solution of the equation:97. Round the approximate value to the nearest hundredth.

Solution

9^x-2=7

Taking log on both sides

log 9^x-2=log 7

(x-2)log9=log 7

x-2=log7/log9

x=(log 7/log9)+2

x=2.89