Question

1 by log x 10 is equal to 2 by 3 minus 2 then x is equal to​

Answer 1

Answer:

$10^{-\frac{4}{3}}$

Step-by-step explanation:

$\frac{1}{log_x10}=\frac{2}{3}-2=-\frac{4}{3}\\\\log_{10}x=-\frac{4}{3}\\\\Raise\;\;to\;\;the\;\;power\;\;10\\\\10^{log_{10}x}=10^{-\frac{4}{3}}\\\\x=10^{-\frac{4}{3}}\\\\Formula:\\\\log_ab=\frac{1}{log_ba}$

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