What is the answer to 0.1=log_{e}(x/(100)) ?

The answer to 0.1=log_{e}(x/(100)) is x=e^{0.1}*100

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

0.1=log_{e}(x/(100))

0.1 = lo g_{e} (\frac{x}{100})

x = e^{0.1} \cdot 100

Decimal Notation

x = 110.51709 \dots

Solution steps

0.1 = lo g_{e} (\frac{x}{100})

Apply log rules

e^{0.1} = \frac{x}{100}

Multiply both sides by

100

e^{0.1} \cdot 100 = \frac{x}{100} \cdot 100

Simplify

e^{0.1} \cdot 100 = x

Switch sides

x = e^{0.1} \cdot 100

Verify Solutions:

x = e^{0.1} \cdot 100

True

The solution is

x = e^{0.1} \cdot 100

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

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

lo g_{3} (3 x + 8) + lo g_{3} (x) = 1

ln (P) = ln (50000) + 0.075 (5)

6.52 = - lo g_{10} (x)

What is the answer to 0.1=log_{e}(x/(100)) ?
The answer to 0.1=log_{e}(x/(100)) is x=e^{0.1}*100