SOLUTION: If the graph of the logarithmic function f(x) = log base 2 (5x+b) passes through the point (2,3), what is b?

Question 421232: If the graph of the logarithmic function f(x) = log base 2 (5x+b) passes through the point (2,3), what is b?
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
If the given point is on the graph of the given equation, then the coordinates of the point must be a solution to the equation. (IOW: The coordinates must fit the equation.) So:

We can solve this for b, First let's simplify:

Now we rewrite the equation in exponential form. In general is equivalent to . Using this pattern on our equation we get:

which simplifies to:

Now we just subtract 10:

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