Saturday

August 23, 2014

August 23, 2014

Posted by **Jon** on Wednesday, April 22, 2009 at 2:30pm.

There's a problem in my book that says:

Convert each logarithm to a natural logarithm and evaluate log(5)√288

the answer in the back is 1.7593 but I can't find an example of those kinds.

- Math -
**Reiny**, Wednesday, April 22, 2009 at 2:47pmyour book should show two of several important properties of logs

1. log_{a}a = 1

2. log_{a}b = log_{10}a/log_{10}b

in log(5)√288 they used #2 rules

log(5)√288

= log(√288)/log 5

= log(16.97056275)/log5

= 1.22969244/.69897 1.759297

for the first of your questions we don't even have to use that

log_{6}√6

= (1/2)log_{6}6

= (1/2)(1)

= 1/2

**Related Questions**

Advanced Functions/ Precalculus Log - 1. Evaluate 4^(log base4 64) + 10^(log100...

Logarithm Please Help - x and y are positive real numbers that satisfy log(base)...

college algebra - Write expression as one logarithm and simplify if appropriate...

math - Logarithm!!! Select all of the following that are true statements: (a) ...

algebra - Write expression as one logarithm and simplify if appropriate. log 3&#...

Precalculus - 1. Write the given expression as a single logarithm. log(70x)+log(...

pre calculous - use the properties of logarithms to write the expression as a ...

math - write as a single logarithm: -2logbase3(1/x)+(1/3)logbase3(square root of...

Math - Logarithm - Solve the following logarithm equation. Please show all of ...

Math - Can the product law of logarithms be used to evaluate log(-2) + log(-3)? ...