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Mathematics 13 Online
OpenStudy (anonymous):

Solve 6x = 24

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

OpenStudy (anonymous):

log_6

OpenStudy (anonymous):

both sides

OpenStudy (anonymous):

according to LGB

OpenStudy (lgbasallote):

apply the rule i said..

OpenStudy (jiteshmeghwal9):

\[\log_{6}{24}=x\]

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

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

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

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

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

OpenStudy (lgbasallote):

sweet welcome ^_^

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