Question

log (0,4^2)/20^4 =

Answer 1

\[\log(\frac{a}{b}) = \log(a) - \log(b)\]

Answer 2

Is that really a decimal point?

Answer 3

yes it is..

Answer 4

, and . on keyboard are close to each other, one can do mistake in that, simple to understand it..

Answer 5

Wth is \[\log\left(\frac{0.4^2}{20^4}\right)\]

Answer 6

It is what you have written.. :P

Answer 7

Not a function but a question to simplify it more..

Answer 8

\[\log\left(\frac{0.4^2}{20^4}\right) = \log(0.4^2) - \log(20^4)\]

Answer 9

And power rule for logs says that:
\[\log(a^m) = m \cdot \log(a)\]

Answer 10

\[\log\left(\frac{a}{b}\right) = \log(a)-\log(b)\]\[\log\left(\frac{0.4^2}{20^4}\right) = 2\log(0.4) -4\log(20)\]

Answer 11

@pain100 should we assume base as \(10\) or do you have something else in your pocket?

Answer 12

First value will be negative...

Answer 13

yes

Answer 14

yes is reply to what?? first question or second one?

Answer 15

\[0.4= \frac{2}{5}\]\[\log(0.4^2) = 2\log\left(\frac{2}{5}\right)=2\cdot [\log(2)-\log(5)]\]

Answer 16

@beans you are going now in depths.. :P

Answer 17

Lmao. Just playing around with the function.

Answer 18

Who is this beans?? Oh my God,

Answer 19

base 10

Answer 20

\[4\log(20)=4\log(5\cdot2^2) = 4\log(5)+2\log(2)\]

Answer 21

Jhanny let us make it more simple..

Answer 22

I am!!

Answer 23

\[\log\left(\frac{0.4^2}{20^4}\right) = 2\log(0.4) -4\log(20)\]\[=2\log(2)-2\log(5)+4\log(5)+2\log(2)\]

Answer 24

\(log_{10}(0.4) = -0.3979\)
\(log_{10}(20) = 1.3010\)

Like this.. :P

Answer 25

Noooo

Answer 26

I think mine is better :-)

Answer 27

But finally you have to evaluate it..

Answer 28

Ik. But still!

Answer 29

in european countries 0,4 = 0.4

Answer 30

\[\implies 2\log(2)-2\log(5)+4\log(5)+2\log(2)\]\[=4\log(2)-2\log(5) = \log(2^4)-\log(5^2)=\frac{\log(2^4)}{\log(5^2)}\]

Answer 31

Suppose you have options like : a) -6 b) -12 c) None..

I got \(-5.9999\) which is close to \(-6\).. :P

Answer 32

Hah!

Answer 33

Here is.. :P

Answer 34

umm my friend says the answer is -6

Answer 35

Who is your that friend?

Answer 36

is this true?

Answer 37

Oh I see where I messed up, lol.

Answer 38

@Jhannybean again look at \(4 \log(20)\) evaluation you have done above..

Answer 39

Yeah ik ik,.. I see it,lol.

Answer 40

\[4 \log(20) = 4 \log(5) + 4 \log(4)\]

Answer 41

Or... \[4\log(5)+8\log(2)\]

Answer 42

\[\log_{10}\left(\frac{0.4^2}{20^4}\right) = 2\log(0.4) -4\log(20)\]\[=2\log(2)-2\log(5)-4\log(5)-8\log(2)\]\[=-6\log(2)-6\log(5)\]\[=-6\]

Answer 43

umm

Answer 44

Where @Jhannybean ??

No you are good everywhere. :P

Answer 45

\[-6(\log(2) + \log(5))\]

Answer 46

= -6 ??

Answer 47

Yes, plug it into your calculator lol

Answer 48

I got -5. something.