Question

log(10 x 3cuberoot of 10)

how to simplify that without using a calculator? I need the fastest numerical steps.

Answer 1

@Auxuris :3

Answer 2

is it ...\[\log(10*\sqrt[3]{10})\]

Answer 3

????

Answer 4

yeahp ;p

Answer 5

sorry but didn't know how to write that down xD

Answer 6

its okay...both term are inmultiplication so use property of log

Answer 7

\[\log(a*b)=\log a + \log b\]

Answer 8

okay you can split them up into ____ + _____

Answer 9

a=10 \[b=\sqrt[3]{10}\]

Answer 10

and since 3√10 is basically 10^1/3 right?

Answer 11

log 10=1
\[\sqrt[3]{10}=10^{1/3}\]

Answer 12

\[\log x^y=y *logx \]

Answer 13

wait so you can split the log outside to.. log10 because a "log" is log ten right?

Answer 14

use this property

Answer 15

o.o

Answer 16

bring the power in gront and log 10 =1 again

Answer 17

yes ^^

and when you have the same right hand side, you can add the two logs tgt

log10 + (1/3)log10 = ?

Answer 18

OOOH log10 = 1 right?

Answer 19

yeap

Answer 20

log10 = 1(10)^1/3

Answer 21

uh.. well, you can't do it like that because you still have a power

you need it to be like, (a)log10 which will give you (a)(1)

Answer 22

well I can't use a blasted calculator with this, what is 10^1/3? xD

Answer 23

really? I can't do that??

Answer 24

as i mentioned, shift the 1/3 in front

Answer 25

log10^a = alog10

Answer 26

oh so just do (1/3)(10)?

Answer 27

argh I'm hopeless xD Q_Q

Answer 28

nope

okay d'you remember this rule?