Let a, b, and x be positive real numbers such that neither a nor b equals 1 (remember x must be greater than 0). Then can be converted to the base b by the formula .
Problem 4: Convert to the base 2
Solution: Convert to the base 2.
The numerator can be calculated by converting the numerator to the base 10
or the base e. . The answer
can also be written
Note that for this problem to be valid, the base (a + b) must be greater
If you would like to review the rules of logarithms, click on Rules.
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Author: Nancy Marcus