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

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

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

lo g_{2} (\frac{x}{( x - 1 )}) = 1

x = 2

Solution steps

lo g_{2} (\frac{x}{( x - 1 )}) = 1

Apply log rules

\frac{x}{x - 1} = 2^{1}

Multiply both sides by

x - 1

\frac{x}{x - 1} (x - 1) = 2^{1} (x - 1)

Simplify

x = 2 (x - 1)

Solve

x = 2 (x - 1) : x = 2

x = 2

Verify Solutions:

x = 2

True

The solution is

x = 2

ln (2 x - 3) = 2

lo g_{10} (9 x) = - 2

lo g_{3} (2 x - 1) + lo g_{2} (4) = 5

ln (x + 3) - ln (x - 1) = ln (x)

lo g_{2} (x^{3}) = 6

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