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OpenStudy (anonymous):
4^x = 12
ln(4^x) = ln(12)
x *ln(4) = ln(12)
x = ln(12)/ln(4)
ln is the natural logarithm
OpenStudy (johnweldon1993):
we can use logs here.....when you have something like
4^x = 12
taking the log of 4^x turns it into xlog4
it brings the exponent in front of log4
so we have
xlog4 = log12 (must do it to the other side to remain equal)
so
x = log12/log4
OpenStudy (sarahc):
these are the answer choices... x ≈ 0.27
x ≈ 0.56
x ≈ 1.79
x ≈ 19.93
OpenStudy (johnweldon1993):
and no...it doesnt matter if you use ln or log...same answer
OpenStudy (johnweldon1993):
well evaluate it...what is log12....divided by log4?
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OpenStudy (sarahc):
3..?
OpenStudy (johnweldon1993):
do you have a calculator with you? just type in log12..close the parenthsis...then divide it by log4
OpenStudy (sarahc):
only have a basic calculator
OpenStudy (johnweldon1993):
oh...okay well i'll do this for you then
log12/log4 = 1.79
OpenStudy (sarahc):
thank you
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