What is the answer to log_{2}(log_{3}(2x))=4 ?

The answer to log_{2}(log_{3}(2x))=4 is x= 43046721/2

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log_{2}(log_{3}(2x))=4

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

x = \frac{43046721}{2}

Decimal Notation

x = 21523360.5

Solution steps

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

Apply log rules

2 x = 43046721

Solve

2 x = 43046721 : x = \frac{43046721}{2}

x = \frac{43046721}{2}

Verify Solutions:

x = \frac{43046721}{2}

True

The solution is

x = \frac{43046721}{2}

lo g_{x} (0.01) = - 2

lo g_{2} (n) = 1 0^{6}

lo g_{3} (\frac{x + 3}{x - 1}) = 1

lo g_{3} (x + 4) + lo g_{3} (4 x - 7) = 3

0.81 = lo g_{10} (x)

What is the answer to log_{2}(log_{3}(2x))=4 ?
The answer to log_{2}(log_{3}(2x))=4 is x= 43046721/2
Solve for x: log_{2}(log_{3}(2x))=4
The solution is x= 43046721/2