How to do this logs question?

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1 Answer
Mar 1, 2018

a=2 , b=4

Explanation:

y=a log_2 x+b

So this must pass through (8,10),(14,32)

So in the equation put y=10,x=8

10=alog_2 8+b

10=a*3+b " " (log_2 8= 3)

Now put y=14,x=32

14=a log_2 32+b

14=a*5+b log_2 32=5

14=3*a+b+2*a

14=10+2*a

4=2*a

2=a

10=3*2+b

10-6=b

b=4

Answers a=2, b=4