1.

If Log10 5 + Log10 (5x+1) = Log10 (x+5) + 1, Then X Is Equal To?

Answer»

LOG105 + LOG10 (5x+1) = log10 (x+5) + 1

=> log105 + log10(5x+1) = log10(x+5) + log10 10

=> log10[5(5x+1)] = log10[10(x+5)]

=> 5(5x+1) = 10(x+5)

=> 5x+1 = 2(x+5)

=> 5x + 1 = 2x + 10

=> 3x = 9

=> x = 3.

log105 + log10 (5x+1) = log10 (x+5) + 1

=> log105 + log10(5x+1) = log10(x+5) + log10 10

=> log10[5(5x+1)] = log10[10(x+5)]

=> 5(5x+1) = 10(x+5)

=> 5x+1 = 2(x+5)

=> 5x + 1 = 2x + 10

=> 3x = 9

=> x = 3.



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