en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(1/(0.32))

Solution

simplify

ln (\frac{1}{0.32})

Solution

- ln (0.32)

+1

Decimal Notation

1.13943 \dots

Solution steps

ln (\frac{1}{0.32})

Apply log rule:

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

ln (\frac{1}{0.32}) = ln (1) - ln (0.32)

= ln (1) - ln (0.32)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (0.32)

0 - ln (0.32) = - ln (0.32)

= - ln (0.32)

Popular Examples

simplify log_{4}((sqrt(f))/(16))simplify

lo g_{4} (\frac{f}{16})

simplify 9ln(x)-1/7 ln(y)simplify

9 ln (x) - \frac{1}{7} ln (y)

simplify 4log_{2}(u)+5log_{2}(v)simplify

4 lo g_{2} (u) + 5 lo g_{2} (v)

simplify 2ln(3)+ln(2)-(ln(6))/(ln(e))simplify

2 ln (3) + ln (2) - \frac{ln ( 6 )}{ln ( e )}

expand log_{5}((a^3)/(b^2))expand

lo g_{5} (\frac{a ^{3}}{b ^{2}})

Frequently Asked Questions (FAQ)

What is ln(1/(0.32)) ?
The solution to ln(1/(0.32)) is -ln(0.32)