A bacterium in a petri dish multiplies by a factor of 2 every day. On day O, there is 1 bacterium; on day 1, there are 2 bacteria, on day 2, there are 2•2 = 4 bacteria; on day 3, there are 2•2•2=8 bacteria, and so on. What logarithmic equation can be used to find the number of days it takes for a colony of 1,000,000,000 bacteria to develop?

A: 1,000,000,000x = log10 2

B: 1,000,000,000 = log2 x

C: x= log2 1,000,000,000

D: x^2 = log10 1,000,000,000

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Data from 2005 for various age groups show that for each $100 increase in the median weekly income for whites, the median weekly income of blacks increases by $105. also, for workers of ages 25 to 54 the median weekly income for whites was $676 and for blacks was $527. (a) let w represent the median weekly income for whites and b the median weekly income for blacks, and write the equation of the line that gives b as a linear function of w. b = (b) when the median weekly income for whites is $760, what does the equation in (a) predict for the median weekly income for blacks?