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Popular >

ln(ln(sqrt(x-1)))=e

Solution

ln (ln (x - 1)) = e

Solution

x = e^{2 e^{e}} + 1

+1

Solution steps

ln (ln (x - 1)) = e

Apply log rules

x - 1 = e^{e^{e}}

Solve

x - 1 = e^{e^{e}} : x = e^{2 e^{e}} + 1

x = e^{2 e^{e}} + 1

Verify Solutions:

x = e^{2 e^{e}} + 1

True

The solution is

x = e^{2 e^{e}} + 1

Popular Examples

log_{10}(x)=1+log_{10}(3x-4)

lo g_{10} (x) = 1 + lo g_{10} (3 x - 4)

log_{1/2}(5(x-1))=3

lo g_{\frac{1}{2}} (5 (x - 1)) = 3

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

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

log_{2}(x+5)=2+log_{2}(x+8)

lo g_{2} (x + 5) = 2 + lo g_{2} (x + 8)

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

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

Frequently Asked Questions (FAQ)

What is the answer to ln(ln(sqrt(x-1)))=e ?
The answer to ln(ln(sqrt(x-1)))=e is x=e^{2e^e}+1