Question

If log x^2-log x = 2 then x
?​

Answer 1

Answer:

x=100

Step-by-step explanation:

$log( {x}^{2} ) - log(x) = 2$

$log( \frac{ {x}^{2} }{x} ) = 2$

∵log a-log b=log(a/b)

$log(x) = 2 \times log(10)$

∵log 10=1

$log(x) = log(100)$

∵b×log a=log (a^b)

Hence, x=100