Friday

March 27, 2015

March 27, 2015

Posted by **Anonymous** on Saturday, July 20, 2013 at 5:24pm.

-Explain the difference between log base b (mn) and ( log base b of m)(log base b of n). Are they equivalent?

- Algebra 2 -
**Reiny**, Saturday, July 20, 2013 at 10:54pmIs log

_{b}m + log_{b}= log_{b}(m+n)

no they are not, since

log_{b}m + log_{b}n = log_{b}(mn)

All we need is ONE counter-example to show that your statement is false.

Assume that

log_{b}m + log_{b}= log_{b}(m+n)

then it should be true for all values of b, m, and n within the domain of log definitions.

let's take some values for which we know the exact values

e.g.

log_{2}8 + log_{2}16

= 3 + 4

= 7

and log_{2}(8+16)

= log_{2}24 ≠ 7

Use a similar argument and example for your second question.

**Answer this Question**

**Related Questions**

Algebra 2 - -Explain the difference between log base b (mn) and ( log base b of ...

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

Precalc - 1. 1/3log base 8 of (x+1)=2log base 8 of 3-(2/3)log base 8 of (x+1) 2...

Algebra - How can you find log base 3 of 242/5 using the given information ...

math - Use the Laws of logarithms to rewrite the expression log(base 2)(11x(x-9...

Trig - log base b 64 - log base b 16 = log base 4 16 solve for the variable.. i...

check! - here is the question: log5(x-4)= log7x solve for x. These are just base...

math - i have 2 math questions i dont understand so if you could help me i would...

algebra - Find value of log (base 8)log (base 2) log (base 3)log (base 3) (27)^3...

chemistry - Please, can someone help? Evaluate log 1. This is my work up until I...