en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(1/(1-0.97))

Solution

simplify

ln (\frac{1}{1 - 0.97})

Solution

- ln (0.03)

+1

Decimal Notation

3.50655 \dots

Solution steps

ln (\frac{1}{1 - 0.97})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{1}{1 - 0.97}) = ln (1) - ln (1 - 0.97)

= ln (1) - ln (1 - 0.97)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (1 - 0.97)

Subtract the numbers:

1 - 0.97 = 0.03

= 0 - ln (0.03)

0 - ln (0.03) = - ln (0.03)

= - ln (0.03)

Popular Examples

simplify ln((e^8-1)/(e^2-1))-3 simplify

ln (\frac{e ^{8} - 1}{e ^{2} - 1}) - 3

simplify 4ln(2x)simplify

4 ln (2 x)

simplify ln(ae^{a(-5)}(-5))simplify

ln (a e^{a (- 5)} (- 5))

limit as x approaches infinity of ln(1/x)

x \to \infty lim (ln (\frac{1}{x}))

simplify ln(y^{sin(x)}*y)simplify

ln (y^{s i n (x)} \cdot y)

Frequently Asked Questions (FAQ)

What is ln(1/(1-0.97)) ?
The solution to ln(1/(1-0.97)) is -ln(0.03)