What is the answer to ln(sqrt(x+4))=2 ?

The answer to ln(sqrt(x+4))=2 is x=e^4-4

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ln(sqrt(x+4))=2

ln (x + 4) = 2

x = e^{4} - 4

Decimal Notation

x = 50.59815 \dots

Solution steps

ln (x + 4) = 2

Apply log rules

x + 4 = e^{2}

Solve

x + 4 = e^{2} : x = e^{4} - 4

x = e^{4} - 4

lo g_{4} (x + 1) - lo g_{4} (5 - 4 x) = 1

18 = 10 lo g_{10} (\frac{200}{x})

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

ln (3 x - 5) - 2 ln (x) = ln (2)

lo g_{3} (- 7 x + 1) - 7 = - 4

What is the answer to ln(sqrt(x+4))=2 ?
The answer to ln(sqrt(x+4))=2 is x=e^4-4
Solve for x: ln(sqrt(x+4))=2
The solution is x=e^4-4