Question

if 3+ log x base 10 is equal to 2log y base 10 then find value x in terms of y​

Answer 1

Step by step explanation

$3+log_{10}x=2log_{10}y\\3log_{10}10+log_{10}x=2log_{10}y\\log_{10}10^3+log_{10}x=log_{10}y^2\\log_{10}(1000x)=log_{10}y^2\\\\Apply\:Anti-log\\\\1000x=y^2\\-->x=\frac{y {}^{2} }{1000}$

$formulae \\ \\ a log_{10}(x) = log_{10} {x}^{a} \\ log_{10}x + log_{10}y = log_{10}xy$

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Answer 2

Answer:

x=y^2÷1000

Step-by-step explanation:

x=y^2÷1000