Mathematics
9 Online
OpenStudy (anonymous):
Need help with Logs!!!
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OpenStudy (anonymous):
OpenStudy (anonymous):
Why cant I open it?
OpenStudy (anonymous):
idk hod on ill type it out
OpenStudy (anonymous):
Find the solution set of 2log[3]x-3log[3]3=7 and log[3]x-2log[3]y=4
OpenStudy (anonymous):
2log[3]x-3log[3]3=7
2log(3)x-3*1=7
2log(3)x=10
log(3)x=5
3^5 =x
x=243
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OpenStudy (anonymous):
got it?
OpenStudy (anonymous):
Npw, substitue x in log[3]x-2log[3]y=4
OpenStudy (anonymous):
and find y......... can u give a try?
OpenStudy (anonymous):
oh ok ic
OpenStudy (anonymous):
do i sub 243 into y as well?
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OpenStudy (anonymous):
Nope
OpenStudy (anonymous):
U need to find y
OpenStudy (anonymous):
ok well log[3](243)= 115
OpenStudy (anonymous):
for #5, x = 9 and y = 1/3
Here just simplify the the log expert ion to simple simultaneous expert ion.
OpenStudy (anonymous):
log[3](243)=5
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OpenStudy (anonymous):
log[3]=1215
OpenStudy (anonymous):
for #6 A), x = 0 or x = 1
Here you need to change the expression to quadratic.
OpenStudy (anonymous):
log=405?
OpenStudy (anonymous):
and how would i cahnge it to a quadratic?
OpenStudy (anonymous):
2^2x - 3 (2^x) + 2 = 0
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OpenStudy (anonymous):
then let 2^x be y, so as to get y^2-3y+2 = 0
OpenStudy (anonymous):
finally #6 B), x = 5
Just use common simplification methods.