What is the answer to ln(sqrt(x^3+2000))=2 ?

The answer to ln(sqrt(x^3+2000))=2 is x=\sqrt[3]{e^4-2000}

Solve for x: ln(sqrt(x^3+2000))=2

The solution is x=\sqrt[3]{e^4-2000}

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ln (x^{3} + 2000) = 2

Decimal Notation

x = - 12.48350 \dots

Solution steps

ln (x^{3} + 2000) = 2

Apply log rules

x^{3} + 2000 = e^{2}

Solve

lo g_{2} (4 x) + lo g_{2} (2) = 4

ln (5) = 1 + ln (2 x)

2 ln (x - 1) - ln (x) = 1

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

lo g_{2} (- 5 x + 8) = 1

What is the answer to ln(sqrt(x^3+2000))=2 ?
The answer to ln(sqrt(x^3+2000))=2 is x=\sqrt[3]{e^4-2000}
Solve for x: ln(sqrt(x^3+2000))=2
The solution is x=\sqrt[3]{e^4-2000}