What is solvefor x,log_{2}(3x)-7<3 ?

The solution to solvefor x,log_{2}(3x)-7<3 is 0<x< 1024/3

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Solve for x log base 2 of 3x-7<3

solve for

x, lo g_{2} (3 x) - 7 < 3

0 < x < \frac{1024}{3}

Solution steps

lo g_{2} (3 x) - 7 < 3

Move

7

to the right side

lo g_{2} (3 x) < 10

Apply log rules

3 x < 1024 and 3 x > 0

3 x < 1024 and 3 x > 0 : 0 < x < \frac{1024}{3}

0 < x < \frac{1024}{3}

Number Line

0 < x < \frac{1024}{3}

lo g_{2} (4) - lo g_{4} (9)

x, lo g_{4} (x) + 20 = 3

x, lo g_{6} (x) + lo g_{6} (x) - 5 = 2

lo g_{5} (2)

lo g_{36} (6) lo g_{6} (36)

What is solvefor x,log_{2}(3x)-7<3 ?
The solution to solvefor x,log_{2}(3x)-7<3 is 0<x< 1024/3