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Mathematics 8 Online
OpenStudy (anonymous):

solve 5^x=18. with steps to show how please

OpenStudy (anonymous):

there are in fact no real steps. to solve \[b^x=A\] for x you go right to the answer \[x=\frac{\ln(A)}{\ln(b)}\]

OpenStudy (anonymous):

the only step is to take out your calculator and find that number. you can also use \[x=\frac{\log(A)}{\log(b)}\]

OpenStudy (anonymous):

oh okay, so there's a formula. thanks a ton!

OpenStudy (anonymous):

"log of the total divided by log of the base" some people call this the "change of base" formula but it is just how you solve

OpenStudy (anonymous):

yes. and you can "derive" the formula if you like, it is not hard. but if i want to solve \[5^x=18\] i go right to \[x=\frac{\ln(18)}{\ln(5)}\]

OpenStudy (anonymous):

okay thanks!

OpenStudy (anonymous):

yw

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