- MTALHAHASSAN2

Solve>
log (5x-2)=3

- jamiebookeater

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- MTALHAHASSAN2

|dw:1433042081319:dw|

- Nnesha

change log to exponential form |dw:1433042073554:dw|

- Nnesha

\[\huge\rm log=\log_{10}\]

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## More answers

- MTALHAHASSAN2

|dw:1433042120636:dw|

- Nnesha

|dw:1433042242477:dw|
3 should be exponent of base
and base is 10

- MTALHAHASSAN2

so it be 10 ^3

- Nnesha

yep right

- MTALHAHASSAN2

ok

- MTALHAHASSAN2

10^3 be 1000 right

- Nnesha

yep

- MTALHAHASSAN2

so everyone time log base be 10

- Nnesha

yep log = log_{10}

- MTALHAHASSAN2

oh ok

- MTALHAHASSAN2

|dw:1433042706292:dw|

- MTALHAHASSAN2

is it be the same thing

- MTALHAHASSAN2

so base be 10 for this one too

- Nnesha

what is .04? is it exponent ?

- MTALHAHASSAN2

|dw:1433042799032:dw|

- Nnesha

\[\huge\rm log 10^{-2} = .04\] like this ?

- MTALHAHASSAN2

I do it like that but did not get the same answer

- MTALHAHASSAN2

|dw:1433042894115:dw|

- Nnesha

nope i'm asking which one is the original question ?

- MTALHAHASSAN2

|dw:1433042957068:dw|

- MTALHAHASSAN2

this one

- Nnesha

\[\log x^{.04} = -2\] like this ?

- Nnesha

.04 is exponent ?

- MTALHAHASSAN2

no it is 0.04

- MTALHAHASSAN2

yes it is

- Nnesha

yep 0.04 is same as .04

- MTALHAHASSAN2

x^0.04

- MTALHAHASSAN2

so I am doing it right

- Nnesha

|dw:1433043171981:dw|
you should move whole thing to the right side x^0.04

- Nnesha

then apply power property

- Nnesha

and \[\huge\rm 10^{-2} = ???\]

- MTALHAHASSAN2

1/100

- MTALHAHASSAN2

right

- Nnesha

yep right

- MTALHAHASSAN2

what you get

- MTALHAHASSAN2

I am getting like -0.03

- Nnesha

mhmm take a screenshot of the question

- MTALHAHASSAN2

how

- Nnesha

with lightshot or
hit prntScr in the keyboard

- MTALHAHASSAN2

|dw:1433043746800:dw|

- MTALHAHASSAN2

|dw:1433043795538:dw|

- Nnesha

how did you subtract -,04 it is an exponent you can't do that

- MTALHAHASSAN2

oh sorry my bad then

- MTALHAHASSAN2

- MTALHAHASSAN2

plz help me

- Australopithecus

DO you still need help with this?

- Nnesha

i'm soooo sorry
*internet issues*
sorry!!! :(

- MTALHAHASSAN2

- MTALHAHASSAN2

know can you plz help me with that question

- Nnesha

ohh u back let's do it !

- MTALHAHASSAN2

ok sure

- MTALHAHASSAN2

|dw:1433093342529:dw|

- MTALHAHASSAN2

so we left from their

- Nnesha

\[\huge\rm 10^{-2} = x^{0.04}\]
10^{-2} = 1/100
\[\large\rm \frac{ 1 }{ 100}=x^{0.04}\]

- Nnesha

do you have a answer choices ?

- MTALHAHASSAN2

no

- MTALHAHASSAN2

what can we do after this step

- Nnesha

okay not take ln both side and apply power rule

- Nnesha

now*

- Nnesha

\[\huge\rm 10^{-2} = x^{0.04}\]
10^{-2} = 1/100
\[\large\rm \frac{ 1 }{ 100}=x^{0.04}\]
1/100 = .01
\[\large\rm 0.01=x^{0.04}\]
we take ln both sides
\[\large\rm \color{reD}{ln} 0.01= \color {red}{ln}x^{0.04}\]

- Nnesha

power prop.\[\large\rm ln x^y = y \ln x\]
apply it

- MTALHAHASSAN2

what you mean the In

- MTALHAHASSAN2

by*

- Nnesha

natural log have u learned it ?

- Nnesha

natural log and *e" ??

- Nnesha

do you know about it ?

- MTALHAHASSAN2

I think I do

- Nnesha

alright good :-)

- Nnesha

\[\large\rm \color{reD}{ln} 0.01= \color {red}{ln}x^{0.04}\]
try it :-)

- Nnesha

ello?

- MTALHAHASSAN2

ok

- MTALHAHASSAN2

|dw:1433095640902:dw|

- MTALHAHASSAN2

is it be like that

- Nnesha

you have to take ln both sides
so that suppose to be
\[\huge\rm ln 0.01 = .04 \ln x\]
now divide both side by 0.04

- MTALHAHASSAN2

but why we are dividing both side with 0.04

- Nnesha

we have to solve for x
so we have to divide both sides by .04
when u will left with ln x at the right side side
after that you can take *e* both side to cancel out ln

- Nnesha

\[\huge\rm ln 0.01 = .04 \ln x\]
here you can't take *e* bec there is .04 at front of ln

- MTALHAHASSAN2

|dw:1433096812958:dw|

- MTALHAHASSAN2

is 0.25 be x

- Nnesha

wait let me check

- Nnesha

nope
it's ln (.01) divide by .04
not just .01/.04

- Nnesha

x is the base right ??
now tell me which one is your question
\[\huge\rm log x^{0.04} = -2 \]
or \[\huge\rm log_x 0.04 =-2 \]
which one is it ?

- MTALHAHASSAN2

second one

- MTALHAHASSAN2

logx0.04=âˆ’2

- triciaal

The log of a number is the power to which the base must be raised to get that number.

- triciaal

as shown by @Nnesha |dw:1433111045071:dw|

- triciaal

|dw:1433111216199:dw|

- triciaal

|dw:1433111397216:dw|

- triciaal

|dw:1433111901139:dw|

- triciaal

|dw:1433112029139:dw|

- dmndlife24

Something you should probably memorize: The logarithm is the exponent you put on the base to get the argument.

- Nnesha

ahh alright i asked yesterday http://prntscr.com/7bnzx0
and u said yes .04 is a exponent

- Nnesha

so if it's a 2nd one then x is base of log

- Nnesha

after converting it to exponential form it should be \[\huge\rm x^{-2} = .04\]
apply exponent rule x^{-m} = 1/m and then cross multiply

- MTALHAHASSAN2

I knwo

- Nnesha

so u got the answer ?let me know what u get :-)

- MTALHAHASSAN2

I get 0.25/ or 0.004

- Nnesha

how did you get .25 ?

- Nnesha

\[\log_x 0.04 = -2 \]
^^^tha\[x^{-2} = ???\]t is your question
change to exponential form
\[\huge\rm x^{-2} = 0.04\]
now \[x^{-2}= ???\]

- MTALHAHASSAN2

0.01/0.04

- MTALHAHASSAN2

but isn't log base be 10

- Nnesha

nope that's not right we did it wrong
bec i thought it's \[\log x^{0.04}= -2\]
but that's wrong your question is \[\log_x 0.04 = -2\]
x
is base of log

- Nnesha

log = log_10
but in that question given base is x

- Nnesha

when they just gave you log without any base then you need to use 10

- MTALHAHASSAN2

oh ok

- Nnesha

|dw:1433112209702:dw|'
now solve this

- MTALHAHASSAN2

|dw:1433112345039:dw|

- MTALHAHASSAN2

right

- Nnesha

yep right cross multiply then solve for x

- MTALHAHASSAN2

|dw:1433112422389:dw|

- Nnesha

yep right solve for x^2

- MTALHAHASSAN2

|dw:1433112507437:dw|

- Nnesha

-.04 ?

- Nnesha

0.04 is multiplying with x^2 how would you cancel it ?

- MTALHAHASSAN2

|dw:1433112651173:dw|

- Nnesha

nope nope

- MTALHAHASSAN2

oh

- Nnesha

1 = 0.04x^2
what is opposite of multiply ?
do that to cancel out .04 from right side

- MTALHAHASSAN2

|dw:1433112883319:dw|

- Nnesha

perfect!

- MTALHAHASSAN2

thnx a lot again

- Nnesha

my pleasure :-)
great work!

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