What is the answer to ln((760)/x)=0.002192398 ?

The answer to ln((760)/x)=0.002192398 is x=(760)/(e^{0.002192398)}

Solve for x: ln((760)/x)=0.002192398

The solution is x=(760)/(e^{0.002192398)}

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ln (\frac{760}{x}) = 0.002192398

x = \frac{760}{e ^{0.002192398}}

Decimal

x = 758.33560 \dots

Solution steps

ln (\frac{760}{x}) = 0.002192398

Apply log rules

\frac{760}{x} = e^{0.002192398}

Multiply both sides by

x

\frac{760}{x} x = e^{0.002192398} x

Simplify

760 = e^{0.002192398} x

Solve

760 = e^{0.002192398} x : x = \frac{760}{e ^{0.002192398}}

x = \frac{760}{e ^{0.002192398}}

Verify Solutions:

x = \frac{760}{e ^{0.002192398}}

True

The solution is

x = \frac{760}{e ^{0.002192398}}

lo g_{5} (3 x^{2} + 6 x - 20) = 2

lo g_{10} (x) = 5 x

lo g_{10} (x) = - 5

lo g_{2} (5 x - 6) = 2

lo g_{10} (x) (8) = 3

What is the answer to ln((760)/x)=0.002192398 ?
The answer to ln((760)/x)=0.002192398 is x=(760)/(e^{0.002192398)}
Solve for x: ln((760)/x)=0.002192398
The solution is x=(760)/(e^{0.002192398)}