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Mathematics 18 Online
OpenStudy (anonymous):

0

OpenStudy (anonymous):

interpret as "solve for \(x\) : \(3^x=27\)"

OpenStudy (joannablackwelder):

I would first find the inverse function, then plug in x=27.

OpenStudy (anonymous):

can u help me find the inverse?

OpenStudy (joannablackwelder):

Sure. First write the function as y=3^x.

OpenStudy (anonymous):

uh huh

OpenStudy (joannablackwelder):

Switch x and y. X=3^y

OpenStudy (joannablackwelder):

Then solve for y.

OpenStudy (joannablackwelder):

Can you try that part?

OpenStudy (anonymous):

how would i solve for y?

OpenStudy (joannablackwelder):

Use logs. :)

OpenStudy (joannablackwelder):

The formula is b^m=n can be converted to log form by log (base b) n=m

OpenStudy (anonymous):

\[\log_{3}x \]?

OpenStudy (joannablackwelder):

Right. Equals y.

OpenStudy (anonymous):

oh ok thnx. im good now.

OpenStudy (joannablackwelder):

:) No worries

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