What is the answer to (5000/70000)=ln(x) ?

The answer to (5000/70000)=ln(x) is x=\sqrt[14]{e}

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(5000/70000)=ln(x)

(\frac{5000}{70000}) = ln (x)

Solution steps

(\frac{5000}{70000}) = ln (x)

Apply log rules

Switch sides

lo g_{x} (8) + lo g_{x} (2) = 2

ln (2 x) = 16

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

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

ln (x + 1) = 6 - 7 x

What is the answer to (5000/70000)=ln(x) ?
The answer to (5000/70000)=ln(x) is x=\sqrt[14]{e}
Solve for x: (5000/70000)=ln(x)
The solution is x=\sqrt[14]{e}