CHANGING THE BASE OF A LOGARITHM - Problem 1
CHANGING THE BASE OF A LOGARITHM - Problem 1
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 1: Find 
.
Answer: -11.191753
Solution 1: Convert to base 10 logarithms.
Check: Let's check your answer. If 
, then the answer is correct.
is not exact
but close enough for our check. Remember why it is not exact in the check.
the -11.18900388 was rounded; therefore, the answer won't be exact.
Solution 2: Convert to base e logarithms.
If you would like to see another problem, click on Next Problem.
S.O.S MATHematics home page