What is the answer to 2.5=ln((100)/x) ?

The answer to 2.5=ln((100)/x) is x=8.20849…

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2.5=ln((100)/x)

2.5 = ln (\frac{100}{x})

x = 8.20849 \dots

Solution steps

2.5 = ln (\frac{100}{x})

Apply log rules

e^{2.5} = \frac{100}{x}

Multiply both sides by

x

e^{2.5} x = \frac{100}{x} x

Simplify

e^{2.5} x = 100

Simplify

12.18249 \dots x = 100

Solve

12.18249 \dots x = 100 : x = 8.20849 \dots

x = 8.20849 \dots

Verify Solutions:

x = 8.20849 \dots

True

The solution is

x = 8.20849 \dots

lo g_{10} (x) = 1

lo g_{10} (15 x) = lo g_{10} (30)

lo g_{a} (0.5) = 0.2

lo g_{4} (x) + lo g_{4} (3 x - 1) = 1

lo g_{2} (x - 3) + 6 = 8

What is the answer to 2.5=ln((100)/x) ?
The answer to 2.5=ln((100)/x) is x=8.20849…
Solve for x: 2.5=ln((100)/x)
The solution is x=8.20849…