Problem

ind an equation of the form \( y=c+b \log _{a} x \) (where \( a, b \), and \( c \) are integers) whose graph contains the two given points. \( (2,4) \) and \( (4,10) \)

Answer

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Answer

\( y = -6 + 6 \log _{2} x \)

Steps

Step 1 :\( 4 = c + b \log_a{2} \)

Step 2 :\( 10 = c + b \log_a{4} \)

Step 3 :\( y = -6 + 6 \log _{2} x \)

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