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Mathematics 12 Online
OpenStudy (anonymous):

How do i do this?????

OpenStudy (anonymous):

OpenStudy (amistre64):

by remembering what the properties of exponents and logs are :)

OpenStudy (amistre64):

\[b^{n+m}=b^n*b^m\]

OpenStudy (anonymous):

i know that 4^-3 x 4^2log2(7)

OpenStudy (amistre64):

good so far

OpenStudy (anonymous):

:]

OpenStudy (anonymous):

now is that 4^-3 x 2log2(7)=4?

OpenStudy (amistre64):

rewrite 2log2(7) as log2(49)

OpenStudy (anonymous):

okay

OpenStudy (amistre64):

if you introduce an = sign; you have to put an arbitrary variable over the to equate to

OpenStudy (anonymous):

okay but is it okay to write like that?

OpenStudy (amistre64):

\[4^{log_2(49)}=4k\]is better

OpenStudy (anonymous):

okay \[\log _{4}81\] do u know how to write this function in the calculator?

OpenStudy (amistre64):

lost a ^3

OpenStudy (anonymous):

\[4^{-3}\times2\log _{2}49\] 0.015625x3.38 0.0528 u mean like this?

OpenStudy (amistre64):

\[4^{-3}4^{log_2{49}}=k\] \[4^{log_2{49}}=4^3k\] \[log_4\{4^{log_2{49}}=4^3k\}\] \[log_2(49)=3+log_4(k)\] \[\frac{ln(49)}{ln(2)}=3+\frac{ln(k)}{ln(4)}\]

OpenStudy (anonymous):

k can be any variable like x?

OpenStudy (amistre64):

\[\frac{ln(4)ln(49)}{ln(2)}-3ln(4)=ln(k)\] hmmm, we can e both sides but that doesnt seem like a simplification does it

OpenStudy (amistre64):

yes, its just a filler that you try to solve for

OpenStudy (amistre64):

i use k for some constant

OpenStudy (anonymous):

okay thanks alot :]

OpenStudy (amistre64):

play around with it using the basic rules you know for exponents and logs and you should do fine

OpenStudy (amistre64):

then use wolfram for a dbl chk ;)

OpenStudy (anonymous):

3.621117=ln k

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