SOLUTION: Solve each equation or inequality. Round to four decimal places if necessary. log base 2 of x <7

Question 129266This question is from textbook Algebra 2
: Solve each equation or inequality. Round to four decimal places if necessary.
log base 2 of x <7 This question is from textbook Algebra 2

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve each equation or inequality. Round to four decimal places if necessary.
log base 2 of x <7
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Solve the boundary equation:
log(base 2) x = 7
x = 2^7
x = 128
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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.

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