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OpenStudy (anonymous):
What is the the solution of
log3x-7 25=2
A- x=-2
B-x=2
C-x=3
D-x=4
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OpenStudy (solomonzelman):
I don't understand what is the base and the log in your log ?
OpenStudy (solomonzelman):
Is it \[\huge\color{blue}{ \log _{3x-7}25=2 }\]
OpenStudy (solomonzelman):
That??? @linds ?
OpenStudy (solomonzelman):
I'll assume that's the question if you don't say anything.
OpenStudy (anonymous):
Yes it is. I am new to open study and trying to figure out how to work it, sorry
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OpenStudy (solomonzelman):
\[\color{blue}{ 2=~~2~\log_{5}(5) =\log_{5}(5^2) =\log_{5}(25) }\]
so lets rewrite it,
\[\huge\color{blue}{ \log _{\color{red} { 3x-7 }}(25)~=~\log_{\color{red} { 5 }}(25) }\]
\[\huge\color{red}{ 3x-7~~=~~5 }\]
\[\huge\color{red}{ 3x=12,~~~~~~~~~~x=4 }\]
OpenStudy (solomonzelman):
It's okay. Just reply accordingly when you are asked to.
OpenStudy (solomonzelman):
Are you clear with how I solved for x ?
OpenStudy (anonymous):
Yes I am, thanks!
OpenStudy (solomonzelman):
You welcome! If you have a question, ask don't be shy!
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