SOLUTION: f(x)=log base b(x) the point contained in the function is (1/8,-3) find b.

Question 380362: f(x)=log base b(x)
the point contained in the function is (1/8,-3)
find b.
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

If the point (1/8, -3) is on the graph of f(x), then it must fit the equation:

Once you understand what represents, then it is fairly simple to find b. In general, logarithms are exponents. This specific logarithm represents "the exponent for b that results in 1/8". This combined with the fact that the equation tells us that this exponent is -3 makes it possible to figure out b.

If you haven't figured it out yet, then rewriting the equation in exponential form may help. The general logarithmic equation is equivalent to the exponential equation . Using this pattern on your equation we get:

From this and the facts that

, and
negative exponents mean reciprocals

we can determine that b must be 2!
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