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Mathematics 10 Online
OpenStudy (sarahc):

Solve 4^x = 12

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?

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

OpenStudy (johnweldon1993):

anytime :)

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