Question

given that $log_{10}x = 2$ and $log_{10}y = -1$ . Show that
xy-$100y^{2}$=9

Answer 1

HERE YOU GO.

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Answer 2

For solution please refer to the attachment .

Note:

★ log_b ( N ) = a => N = b^a

★ log(a×b) = log( a ) + log( b )

★ log(a/b) = log( a ) - log( b )

★ logNⁿ = n×logN

★ log_bⁿ ( N ) = (1/n)×log_b ( N )

★ log_b ( a ) = 1 / log_a ( b )

★ log_b ( a ) = [log_b ( k )]×[log_k ( a )]

★ log_b ( b ) = 1

★ log 1 = 0