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Algebra 14 Online
OpenStudy (anonymous):

ln(2x-1) = ln11

OpenStudy (mathstudent55):

If \( \ln a = \ln b \), then \(a = b\).

OpenStudy (anonymous):

how?

OpenStudy (mathstudent55):

Here's an example: ln(3x + 1) = ln(10) then 3x + 1 = 10 3x = 9 x = 3 Check: for x = 3, ln(3x + 1) = ln(10) ? ln[3(3) + 1] = ln(10) ? ln(10) = ln(10) is true, therefore x = 3 is the correct solution.

OpenStudy (anonymous):

2x-1=11 2x=12 x=6?

OpenStudy (anonymous):

\[\log_{4}(x+7)=\log_{4}14 \]

OpenStudy (mathstudent55):

Correct, x = 6.

OpenStudy (mathstudent55):

For the second problem, since the bases are the same, just set x + 7 = 14.

OpenStudy (anonymous):

then x = 7 :D

OpenStudy (anonymous):

can you help me with 4 more? :)

OpenStudy (mathstudent55):

Yes, but can you please start a new post for each one?

OpenStudy (anonymous):

okay thanks

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