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For some positive real number x x x , if log ⁡ 3 ( x ) + log ⁡ x ( 25 ) log ⁡ x ( 0.008 ) = 16 3 , \log_{\sqrt{3}}(x) + \frac{\log_x(25)}{\log_x(0.008...

CAT Medium Logarithms Integer

Question

For some positive real number

xx
, if

log⁡3(x)+log⁡x(25)log⁡x(0.008)=163,\log_{\sqrt{3}}(x) + \frac{\log_x(25)}{\log_x(0.008)} = \frac{16}{3},
then the value of
log⁡3(3x2)\log_3(3x^2)
is:

Answer Format

Enter your answer as an integer value

cat 2023logarithmic equationsbase conversionsimplification

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