What is the answer to (2log_{2}(x)-3)/3 =1 ?

The answer to (2log_{2}(x)-3)/3 =1 is x=8

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(2log_{2}(x)-3)/3 =1

\frac{2 lo g _{2} ( x ) - 3}{3} = 1

x = 8

Solution steps

\frac{2 lo g _{2} ( x ) - 3}{3} = 1

Multiply both sides by

3

2 lo g_{2} (x) - 3 = 3

Move

3

to the right side

2 lo g_{2} (x) = 6

Divide both sides by

2

lo g_{2} (x) = 3

Apply log rules

x = 8

Verify Solutions:

x = 8

True

The solution is

x = 8

lo g_{4} (x^{3} - 3 x) = 1

lo g_{4} (2 x) + lo g_{4} (x - 2) = 2

lo g_{10} (5 x) = - 2

- 4 lo g_{8} (3) = lo g_{8} (x)

ln (3 x^{2} + x - 2) = 3 ln (3 x - 2)

What is the answer to (2log_{2}(x)-3)/3 =1 ?
The answer to (2log_{2}(x)-3)/3 =1 is x=8
Solve for x: (2log_{2}(x)-3)/3 =1
The solution is x=8