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Mathematics
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Chapter 5:Indices and Logarithms
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\[Given~\log _{3}x=7~and~\log _{3}y=3,\]find the values of:\[\log _{3}27x^2y\]
My answer is 19 but the answer in the book say it's 20
@jim_thompson5910
@iambatman
first use rules to expand
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multiplication .---> addition division ----- > subtraction
\[\log _{3}3^2+\log _{3}x^2+\log _{3}y\]
\[\log_3 27x^2y = \log_3 27 + 2\log_3 x + \log_3 y = 3+2(7) +3 = 20\]
|dw:1424058582231:dw|
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