What is the answer to 5ln(x)+3ln(1/x)=10 ?

The answer to 5ln(x)+3ln(1/x)=10 is x=e^5

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5ln(x)+3ln(1/x)=10

5 ln (x) + 3 ln (\frac{1}{x}) = 10

x = e^{5}

Decimal Notation

x = 148.41315 \dots

Solution steps

5 ln (x) + 3 ln (\frac{1}{x}) = 10

Apply log rules

x = e^{5}

Verify Solutions:

x = e^{5}

True

The solution is

x = e^{5}

x^{l n (17)} + 1 7^{l n (x)} = 34

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

65 = 9 \cdot ln (x) + 44

2 lo g_{3} (x + 2) = lo g_{3} (3) + 1

ln (10 x + 6) = 5

What is the answer to 5ln(x)+3ln(1/x)=10 ?
The answer to 5ln(x)+3ln(1/x)=10 is x=e^5
Solve for x: 5ln(x)+3ln(1/x)=10
The solution is x=e^5