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Mathematics 18 Online
OpenStudy (anonymous):

9^log3(20)=?

OpenStudy (anonymous):

need help

OpenStudy (anonymous):

its result is 400

OpenStudy (anonymous):

\[9 = 3^2\]\[\implies 9^{log_3(20)} = (3^2)^{log_3(20)}\]\[=3^{2log_3(20)}\]\[=(3^{log_3(20)})^2\]\[=20^2\]

OpenStudy (anonymous):

That's correct. It's 400

OpenStudy (anonymous):

thank you

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