What is the answer to log_{k}(4)=2 ?

The answer to log_{k}(4)=2 is k=2

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log_{k}(4)=2

lo g_{k} (4) = 2

k = 2

Solution steps

lo g_{k} (4) = 2

Apply log rules

\frac{1}{lo g _{4} ( k )} = 2

Multiply both sides by

lo g_{4} (k)

\frac{1}{lo g _{4} ( k )} lo g_{4} (k) = 2 lo g_{4} (k)

Simplify

1 = 2 lo g_{4} (k)

Switch sides

2 lo g_{4} (k) = 1

Divide both sides by

2

lo g_{4} (k) = \frac{1}{2}

Apply log rules

k = 2

Verify Solutions:

k = 2

True

The solution is

k = 2

lo g_{10} (3 x) + lo g_{10} (x) 9 = 3

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

2 lo g_{10} (x - 1) - lo g_{10} (x) = 0

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

x, y = ln (x y)