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Mathematics 18 Online
OpenStudy (anonymous):

ln8x=4 ?

OpenStudy (anonymous):

Yes

OpenStudy (anonymous):

\[ln(8x) = 4 \iff e^4 = 8x\]

OpenStudy (anonymous):

By the definition of the logarithm

OpenStudy (anonymous):

So then what would you do?

OpenStudy (anonymous):

how do i solve for x?

OpenStudy (anonymous):

Well, you have \(8x = e^4\) If I told you that 7a = 25, how would you solve for a?

OpenStudy (anonymous):

divide 25 by 7

OpenStudy (anonymous):

would the answer be 6.82?

OpenStudy (anonymous):

Yep, or at least that's a close approximation.

OpenStudy (anonymous):

okay, so if were to have ln(5-x)=12 how would ibegin with solving that?

OpenStudy (anonymous):

Same deal. \[ln(a) = b \iff e^b = a\]

OpenStudy (anonymous):

Those two expressions are equivalent.

OpenStudy (anonymous):

ok, so e to the 12 power = 5-x ?

OpenStudy (anonymous):

Yes

OpenStudy (anonymous):

does it equal approx -162749.8?

OpenStudy (anonymous):

yep

OpenStudy (anonymous):

thank you

OpenStudy (anonymous):

Very welcome =)

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