Mathematics
12 Online
OpenStudy (anonymous):
0.5^x-1 = 0.4^2x
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OpenStudy (anonymous):
0.5^x-1=0.4^2x
0.5^x-0.4^2x=1
o.5^x-0.16^x=1
OpenStudy (anonymous):
do you use log?
OpenStudy (anonymous):
@sauravshakya
OpenStudy (anonymous):
I am thinking
OpenStudy (anonymous):
@ganeshie8 Can u solve this
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ganeshie8 (ganeshie8):
hey i think the question has -1 on exponent
\(0.5^{x-1} = 0.4^{2x}\)
then we can use log ?
ganeshie8 (ganeshie8):
what do u thin @sauravshakya
OpenStudy (anonymous):
may i know answer please?
OpenStudy (anonymous):
Oh ya
OpenStudy (anonymous):
Ya @ganeshie8 ....... I think the question is the that
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OpenStudy (anonymous):
the answer in the textbook is -0.608
OpenStudy (anonymous):
0.5^(x-1)=0.4^2x
0.5^(x-1)=0.16^x
log0.5^(x-1)=log(0.16^x)
(x-1)log0.5=xlog0.16
xlog0.5 -log0.5 = xlog0.16
x(log0.5-log0.16)=log0.5
x=log0.5/(log0.5/log0.16)
OpenStudy (anonymous):
Can u use calculator to find that and check...... cause I dont have a calculator
OpenStudy (anonymous):
-0.796
OpenStudy (anonymous):
is it division? @sauravshakya can you teach me logs?
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OpenStudy (anonymous):
If a^b=c then it can be written as |dw:1347520584284:dw|
OpenStudy (anonymous):
got it? @muhammad9t5
OpenStudy (anonymous):
if you don't mind do you Skype?
OpenStudy (anonymous):
would it start off like this instead?
0.5^(x-1) = 0.4^(2x)
log0.5^(x-1) = log0.4^(2x)
(x-1)log0.5 = (2x)log0.4
OpenStudy (anonymous):
Yes u can do that
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OpenStudy (anonymous):
yes sir are you there? @sauravshakya
OpenStudy (anonymous):
I am not good at teaching stuff...... U can have a look at KHANACADEMY
OpenStudy (anonymous):
hhhmm do you have learned from that?
OpenStudy (anonymous):
Yep
OpenStudy (anonymous):
And books
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OpenStudy (anonymous):
then?
x-1 = (2x) (log0.5/log.0.4)
OpenStudy (anonymous):
(x-1)log0.5 = (2x)log0.4
x log0.5 -log0.5=2xlog0.4
xlog0.5 - 2xlog0.4 = log 0.5