What is the answer to 2.53=ln(X/(25)) ?

The answer to 2.53=ln(X/(25)) is X=e^{2.53}*25

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2.53=ln(X/(25))

2.53 = ln (\frac{X}{25})

X = e^{2.53} \cdot 25

Decimal Notation

X = 313.83765 \dots

Solution steps

2.53 = ln (\frac{X}{25})

Apply log rules

e^{2.53} = \frac{X}{25}

Multiply both sides by

25

e^{2.53} \cdot 25 = \frac{X}{25} \cdot 25

Simplify

e^{2.53} \cdot 25 = X

Switch sides

X = e^{2.53} \cdot 25

Verify Solutions:

X = e^{2.53} \cdot 25

True

The solution is

X = e^{2.53} \cdot 25

lo g_{3} (x) = 64 lo g_{x} (3)

lo g_{2} (x) = 4 - lo g_{x} (2)

2 ln (x - 2) + ln (x + 8) = 3 ln (x)

lo g_{5} (y) = - 3

ln (x) = ln (x - 2000) + 14876

What is the answer to 2.53=ln(X/(25)) ?
The answer to 2.53=ln(X/(25)) is X=e^{2.53}*25
Solve for X: 2.53=ln(X/(25))
The solution is X=e^{2.53}*25