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Mathematics 11 Online
OpenStudy (anonymous):

3^(2x-1)=17

OpenStudy (anonymous):

can you help?

OpenStudy (lgbasallote):

convert into log form \[\log_3 17 = 2x - 1\] add 1 to both sides \[\log_3 17 + 1 = 2x\] divide both sides by 2 \[x = \frac{\log_3 17 + 1}{2}\]

OpenStudy (lgbasallote):

got that?

OpenStudy (anonymous):

okay but how do I solve it from there?

OpenStudy (lgbasallote):

you use a calculator

OpenStudy (anonymous):

it wont let me do log3.. only log10

OpenStudy (anonymous):

is the answer 4.7?

OpenStudy (lgbasallote):

idk..i dont have a calculator

OpenStudy (anonymous):

how do I do log3 of 17? like how would I type it into the calculator?

OpenStudy (lgbasallote):

\[\log_3 17 \implies \log 17 \div \log 3\]

OpenStudy (anonymous):

oh okay, thanks so much for your help

OpenStudy (lgbasallote):

you're welcome

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