Question

find the values of log x and y ,if log10(x-1)= 10(y+ 4)and x + y = 6

Answer 1

$log_{10}(x - 1) = log_{10}(y + 4) \\ x - 1 = y + 4 \\ x - y = 5 \: \: \: \: \: \: \: \: \: \: \: \: \: (1) \\ x + y = 6 \: \: \: \: \: \: \: \: \: \: \: \: \: (2) \\ on \: solving \\ 2x = 11 \\ x = \frac{11}{2} \\ 2y = 1 \\ y = \frac{1}{2}$

Answer 2

Answer:

x=11/2

y=1/2

Step-by-step explanation:

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