What is the answer to log_{2}(log_{3}(x))=-1 ?

The answer to log_{2}(log_{3}(x))=-1 is x=sqrt(3)

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log_{2}(log_{3}(x))=-1

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

x = 3

Decimal Notation

x = 1.73205 \dots

Solution steps

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

Apply log rules

x = 3

Verify Solutions:

x = 3

True

The solution is

x = 3

ln (x) + ln (x + 2) = 1

ln (x) + \frac{1}{2} = ln (x)

lo g_{9} (x) = 2

1 = - lo g_{10} (x)

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

What is the answer to log_{2}(log_{3}(x))=-1 ?
The answer to log_{2}(log_{3}(x))=-1 is x=sqrt(3)
Solve for x: log_{2}(log_{3}(x))=-1
The solution is x=sqrt(3)