What is the answer to log_{2}(log_{x}(4))=1 ?

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

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log_{2}(log_{x}(4))=1

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

x = 2

Solution steps

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

Apply log rules

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

Multiply both sides by

lo g_{4} (x)

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

Simplify

1 = 2 lo g_{4} (x)

Switch sides

2 lo g_{4} (x) = 1

Divide both sides by

2

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

Apply log rules

x = 2

Verify Solutions:

x = 2

True

The solution is

x = 2

1 = ln (x)

lo g_{10} (4 x - 8) = 2

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

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

lo g_{6} (x + 9) + lo g_{6} (x) = 2

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