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OpenStudy (cwrw238):
log32 x=-2/5
means that
x = 32 ^ (-2/5)
can you continue?
OpenStudy (anonymous):
yeah
OpenStudy (anonymous):
so x=.25?
OpenStudy (cwrw238):
yes
1 / (32^0.2)^2 = 1 / 2^2 = 1/4 0r 0.25
OpenStudy (anonymous):
ok thanks so much!
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OpenStudy (cwrw238):
yw
OpenStudy (anonymous):
so the second one 9=x^(-1/2) how do you get the answer?
OpenStudy (cwrw238):
9 = 1
---
x^(1/2)
x^(1/2) = 1/9
now square both sides
x = (1/9)^2
OpenStudy (anonymous):
do you do the same thing for the third one?
OpenStudy (cwrw238):
to get rid of the log function use :
if loga b = x
then b = a^ x
or if you find this difficult to remember use :
if
log10 100 = 2
then 100 = 10^2
you now the last part is true so its a check that you have it right
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OpenStudy (cwrw238):
for the third one
you get
(1/2)^x = 32
in this case take logs to the base e and use your calculator
ln (0.5)^x = ln 32
x* ln(0.5) = ln 32
x = ln32 / ln(0.5)