What is ln(sqrt(e))-ln(1000)+log_{2}(32) ?

The solution to ln(sqrt(e))-ln(1000)+log_{2}(32) is ln((sqrt(e))/(1000))+5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(sqrt(e))-ln(1000)+log_{2}(32)

simplify

ln (e) - ln (1000) + lo g_{2} (32)

ln (\frac{e}{1000}) + 5

Decimal Notation

- 1.40775 \dots

Solution steps

ln (e) - ln (1000) + lo g_{2} (32)

Apply log rule:

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

ln (e) - ln (1000) = ln (\frac{e}{1000})

= ln (\frac{e}{1000}) + lo g_{2} (32)

lo g_{2} (32) = 5

= ln (\frac{e}{1000}) + 5

ln (\frac{999999950}{0.00000001})

lo g_{10} (0.3 x)

ln (5 x) + ln (2 x)

ln (6) + ln (\frac{e ^{(2.47329)}}{3})

3 ln (x) + \frac{1}{2} ln (y) + ln (z)

What is ln(sqrt(e))-ln(1000)+log_{2}(32) ?
The solution to ln(sqrt(e))-ln(1000)+log_{2}(32) is ln((sqrt(e))/(1000))+5