SOLUTION: {{{ ln(t/(t-4))=1 }}} solve for t. give exact answer. (no decimals) thank you ��∆ �∆�∆

Question 365680:
solve for t. give exact answer. (no decimals)
thank you
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Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Rewrite 1 as . Recall that

Since the logs have the same base (e), this means that the arguments (the stuff inside the logs) are equal.

Formally, if , then

Use the property given above to set the arguments equal to each other.

Multiply both sides by .

Distribute.

Subtract et from both sides.

Factor out the GCF 't'.

Divide both sides by to isolate 't'.

Optional Step: You can rewrite as and notice how the negatives cancel in the numerator and denominator. So also

So the solution is

You can also write the solution as (the two are equivalent).

If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim
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SOLUTION: {{{ ln(t/(t-4))=1 }}} solve for t. give exact answer. (no decimals) thank you ���&#8710; �&#8710;�&#8710;

SOLUTION: {{{ ln(t/(t-4))=1 }}} solve for t. give exact answer. (no decimals) thank you ��∆ �∆�∆