What is the answer to ln(sqrt(x+1))=1 ?

The answer to ln(sqrt(x+1))=1 is x=e^2-1

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ln(sqrt(x+1))=1

ln (x + 1) = 1

x = e^{2} - 1

Solution steps

ln (x + 1) = 1

Apply log rules

x + 1 = e

Solve

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

x = e^{2} - 1

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

lo g_{x + 5} (8) = lo g_{6} (8)

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

2 lo g_{2} (x) + 5 = 21

lo g_{5} (x + 7) + lo g_{5} (x - 4) = 3

What is the answer to ln(sqrt(x+1))=1 ?
The answer to ln(sqrt(x+1))=1 is x=e^2-1
Solve for x: ln(sqrt(x+1))=1
The solution is x=e^2-1