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Mathematics 19 Online
OpenStudy (anonymous):

Question in comments, Please help..

OpenStudy (anonymous):

\[4^{x}=8\]

OpenStudy (anonymous):

i thought the answer was \[\frac{ \log8 }{ \log4 }\] but apparently it's 3/2 and i wanna know what i got wrong.

OpenStudy (anonymous):

or how you get 3/2

jimthompson5910 (jim_thompson5910):

4 = 2^2 8 = 2^3

jimthompson5910 (jim_thompson5910):

4^x = 8 (2^2)^x = 2^3 2^(2x) = 3 The bases are equal, so the exponents must be equal as well meaning that 2x = 3 x = 3/2

OpenStudy (anonymous):

ahh, i see

jimthompson5910 (jim_thompson5910):

btw you would get the same answer if you typed in log(8)/log(4) since that does simplify to 3/2

jimthompson5910 (jim_thompson5910):

your calculator will spit out 1.5, but that's the same thing as 3/2

OpenStudy (anonymous):

thx so much!

jimthompson5910 (jim_thompson5910):

you're welcome

OpenStudy (anonymous):

give peter a medal if he gives a good response :3

jimthompson5910 (jim_thompson5910):

?

OpenStudy (anonymous):

nvm..

jimthompson5910 (jim_thompson5910):

ok

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