Question

4^x =65536
how do i get x manually?

Answer 1

Do you what is \( 2^{16} \)?

Answer 2

one way is to use logarithms...another way is to expres 65536 in power 4 like 4^8

Answer 3

4^x =65536
log both sides
xlog4 = log65536
x = 8

Answer 4

know*

Answer 5

x=8
4^8=65536

Answer 6

hey did we divide both the logs in last step??@Callisto

Answer 7

manually, youd use your finger to type the keys on the calculator :)

Answer 8

i cant guess its 4^8 lol

Answer 9

@amistre calculator is autonatic! i said "manually"

Answer 10

@amistre64 that's what i do :)

Answer 11

hey so hw do we get it using power of 2??@FoolForMath

Answer 12

oh (2^2)^x !!!

Answer 13

2^2x

Answer 14

hmm... well that log part is new information to me.i think its intersting way

Answer 15

take log on bothg sides and get the result!!

Answer 16

hey i frgt to ask what is the base???

Answer 17

2|65536
2|32768
2|16384
2|8192
2|4096
2|2048
2|1024
2|512
2|256
2|128
2|64
2|32
2|16
2|8
2|4
2|2
1
count the no of 2 and you'll get the power with base 2
and if this is what you mean by manually

Answer 18

it a common log

Answer 19

\[\int \frac{1}{1+x}dx = ln(1+x)\]



1-x+x^2-x^3+x^4-x^5 ....
--------------------
1+x ) 1
(1+x)
-------
-x
(-x-x^2)
---------
+x^2

\[\int (1-x+x^2-x^3+x^4...)dx = ln(1+x) =x-\frac{x^2}{2}+\frac{x^3}{3}-\frac{x^4}{4}+\frac{x^5}{5}...\]

Answer 20

common log means base e??

Answer 21

base 10

Answer 22

i think e is that natural log

Answer 23

\[4^x =65536\]
\[ln(4^x =65536)\]
\[ln(4^x) =ln(65536)\]
\[xln(4) =ln(65536)\]
\[x =\frac{ln(65536)}{ln(4)}\]

Answer 24

use the poly of ln(1+x) to manually determing the rest ;)

Answer 25

so natural log wont work??

Answer 26

it works also

Answer 27

all logs are the same, you can use any one

Answer 28

all logs lead to the bayou

Answer 29

how's bayou?