What is the answer to 3log_{2}(x-1)=log_{2}(27) ?

The answer to 3log_{2}(x-1)=log_{2}(27) is x=4

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3log_{2}(x-1)=log_{2}(27)

3 lo g_{2} (x - 1) = lo g_{2} (27)

x = 4

Solution steps

3 lo g_{2} (x - 1) = lo g_{2} (27)

Divide both sides by

3

lo g_{2} (x - 1) = \frac{lo g _{2} ( 27 )}{3}

Apply log rules

x - 1 = 3

Solve

x - 1 = 3 : x = 4

x = 4

Verify Solutions:

x = 4

True

The solution is

x = 4

lo g_{a} (125) = 3

5 lo g_{3} (3 x) = 15

0.25 = \frac{ln ( 4 b )}{ln ( 2 b )}

lo g_{2} (5 x - 3) + 2 = lo g_{2} (4 x)

lo g_{2} (4 - x) = 1

What is the answer to 3log_{2}(x-1)=log_{2}(27) ?
The answer to 3log_{2}(x-1)=log_{2}(27) is x=4
Solve for x: 3log_{2}(x-1)=log_{2}(27)
The solution is x=4