What is the answer to ln(x)+ln(x^2+1)=8 ?

The answer to ln(x)+ln(x^2+1)=8 is x\approx 14.36875…

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ln(x)+ln(x^2+1)=8

ln (x) + ln (x^{2} + 1) = 8

x \approx 14.36875 \dots

Solution steps

ln (x) + ln (x^{2} + 1) = 8

Apply log rules

x (x^{2} + 1) = e^{8}

Solve

x (x^{2} + 1) = e^{8} : x \approx 14.36875 \dots

x \approx 14.36875 \dots

Verify Solutions:

x \approx 14.36875 \dots

True

The solution is

x \approx 14.36875 \dots

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

5 lo g_{5} (x) + 5 = 0

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

lo g_{32} (x) = - \frac{2}{5}

lo g_{2} (3 x) + 4 lo g_{2} (4) = 2

What is the answer to ln(x)+ln(x^2+1)=8 ?
The answer to ln(x)+ln(x^2+1)=8 is x\approx 14.36875…
Solve for x: ln(x)+ln(x^2+1)=8
The solution is x\approx 14.36875…