What is the answer to ln(sqrt(x+8))=2 ?

The answer to ln(sqrt(x+8))=2 is x=e^4-8

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ln(sqrt(x+8))=2

ln (x + 8) = 2

x = e^{4} - 8

Decimal

x = 46.59815 \dots

Solution steps

ln (x + 8) = 2

Apply log rules

x + 8 = e^{2}

Solve

x + 8 = e^{2} : x = e^{4} - 8

x = e^{4} - 8

2 x ln (\frac{1}{x}) - x = 0

lo g_{10} (2 x - 6) = 2

lo g_{256} (x) = - \frac{3}{4}

x (2 ln (x) + 1) = 0

lo g_{2} (x) - 3 lo g_{10} (x) = 2

What is the answer to ln(sqrt(x+8))=2 ?
The answer to ln(sqrt(x+8))=2 is x=e^4-8
Solve for x: ln(sqrt(x+8))=2
The solution is x=e^4-8