3.5. Change of Base http://www.ck12.org
- log 2527 =log 3log 5^32 =^32 ·(log 5log 3^1 )=^32 ·log^135 ≈^32 · 1. 4651 = 1. 0239
Practice
Evaluate each expression by changing the base and using your calculator.
- log 615
- log 912
- log 525
Evaluate each expression. - log 8 (log 4 (log 381 ))
- log 23 ·log 34 ·log 616 ·log 46
- log 125·log 94 ·log 481 ·log 510
- log 5 ( 5 log^5125 )
- log(log 6 (log 264 ))
- 10log^1009
10.(log 4 x)(logx 16 ) - log 49495
- 3 log 24248
- 4log^23
Prove the following properties of logarithms.
14.(logab)(logbc) =logac
15.(logab)(logbc)(logcd) =logad