Question 129266
Solve each equation or inequality. Round to four decimal places if necessary.
log base 2 of x <7 
--------------
Solve the boundary equation:
log(base 2) x = 7
x = 2^7
x = 128

------------------------------
Plot the value x=128 on a number line.
Pick a test point, other than the border value; for example, x = 2.
Substitute into the inequality to see if you get a true statement:
log(base 2)2 = 7
2 < 2^7
That is true
All x-values on that side of the boundary  but greater than zero are part of the solution set.
Solution is 0< x < 128 

=============
Cheers,
Stan H.