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

The answer to log_{3}(log_{2}(x))=2 is x=512

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log_{3}(log_{2}(x))=2

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

x = 512

Solution steps

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

Apply log rules

x = 512

Verify Solutions:

x = 512

True

The solution is

x = 512

ln^{2} (x) = 1

2 ln (x) = 0

lo g_{x} (125) = \frac{3}{4}

lo g_{2} ((2 x^{2} + 7 x + 5) + 9) = 3

y = ln (y)

What is the answer to log_{3}(log_{2}(x))=2 ?
The answer to log_{3}(log_{2}(x))=2 is x=512
Solve for x: log_{3}(log_{2}(x))=2
The solution is x=512