Mathematics
13 Online
OpenStudy (anonymous):
Solve 6x = 24
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OpenStudy (anonymous):
Divide both sides by 6 what do u get?
OpenStudy (anonymous):
It's 6^x=24
OpenStudy (anonymous):
oh sorry log it then
OpenStudy (lgbasallote):
hint \[\huge a^ b =c \implies \log_a c = b\]
OpenStudy (anonymous):
It's a logarithmic equation. Not simply 6x=24
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OpenStudy (anonymous):
log_6
OpenStudy (anonymous):
both sides
OpenStudy (anonymous):
according to LGB
OpenStudy (lgbasallote):
apply the rule i said..
OpenStudy (jiteshmeghwal9):
\[\log_{6}{24}=x\]
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OpenStudy (anonymous):
I got 0.778151250038
OpenStudy (lgbasallote):
how did that happen?
OpenStudy (anonymous):
I put log 6 on the calculator
OpenStudy (lgbasallote):
first turn \[6^x = 24\]into log form. what do you get?
OpenStudy (anonymous):
log6^x=log 24
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OpenStudy (lgbasallote):
hmm remember \[a^b = c \implies \log_a c = b\]
OpenStudy (jiteshmeghwal9):
\[\log_{6}{24}=x\]
OpenStudy (lgbasallote):
in \[6^x = 24\]
which is a?
OpenStudy (anonymous):
I think the mistake you did in plugging in was you plugged in log(6)
OpenStudy (anonymous):
Ohhhhhh
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OpenStudy (anonymous):
That is wrong...the 6 should be a subscore
OpenStudy (anonymous):
A= 6?
OpenStudy (lgbasallote):
right. what is b?
OpenStudy (anonymous):
24
OpenStudy (lgbasallote):
hmm remember the form is \[a^b = c\]
b is the exponent
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OpenStudy (anonymous):
Oops so x?? Ahhh
OpenStudy (lgbasallote):
yep. so what is c?
OpenStudy (anonymous):
24
OpenStudy (lgbasallote):
correct. so now what is \[\log_a c = b\]
OpenStudy (anonymous):
My final answer is 1.77 o.O
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OpenStudy (lgbasallote):
that's better
OpenStudy (anonymous):
That's correct?
OpenStudy (lgbasallote):
yep :D
OpenStudy (lgbasallote):
\[\log_6 24 = x\]
\[\implies \log 24 \div \log 6 \approx 1.77\]
OpenStudy (anonymous):
Sweet thankss
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OpenStudy (lgbasallote):
sweet welcome ^_^