Question

6^5x=20 round to te nearest ten- thousandth?
i have most of the work down just need someone to verify if i am correct or not.

Answer 1

i will show te work here that i have done.

Answer 2

\[6^5x=20\] the x should be with the 5

Answer 3

now the work
log6^5x = log 20
(5x) log 6 = log 20
(5x) =( log 6/ log 20 )
x= (log 20/ log 6) / 5
x=.153724357
which means that x= .1537 because two doeasnt make the seven round up it stays the same.

Answer 4

or did i do that wrong?

Answer 5

ok up to
(5x) log 6 = log 20

we can write this as
(5 log 6) x = log20

5log6 is some number (ugly decimal) but a number. Divide both sides by this ugly number

\[ \frac{(5 \log 6)x}{(5 \log 6)} = \frac{\log 20}{(5 \log 6)}\]
anything divided by itself is 1 , so on the left side of the = we have
\[ \frac{\cancel{(5 \log 6)}x}{\cancel{(5 \log 6)}} = \frac{\log 20}{(5 \log 6)}\]

now can you finish ?

Answer 6

can i put it in my calculator as 6 log 5 because i have to put the number befor the log in my calculator

Answer 7

it is log(20) divided by (5 times log 6)

Answer 8

oh ok

Answer 9

ok so i got .043367667 in my calcuator rounded to the nearest ten thousandth it would be .0434 correct?

Answer 10

try again.

log20 = 1.30103

5 * log 6 = 3.890756

Answer 11

ok so nw i have a large number 8.359750081
rounded to the nearest ten thousandth would be 8.3598

Answer 12

no. I can't tell how you are getting these numbers, but they are not correct.
log20 / ( 5 log6) = 1.30103/3.890756

see if you can get those numbers. the answer is about 0.3....

Answer 13

i dont know how o put the equation into the calculator correctly because in order to put a log in you put the number before thelog so five log six is a terrible thing to put into the calculator for me because i dont understand how

Answer 14

i only get a point three numbe rif i divide by 5 then get 0.334390003 which rounds out to .3344

Answer 15

ok, that is the correct answer. but to do this with your calculator, do you type in
20
then log
?
and get a number 1.30103

Answer 16

yes

Answer 17

then type 5
and divide and get
0.26020599

Answer 18

oh ok thank you i am about to post another question which i dont have a clue how to do if ou would please help me.

Answer 19

then type
6
log
divide
and this should give you the final number 0.3344

you might want to get a different calculator that is easier to use. or use google

type
log(20)/(5*log(6))=
into the google search window