Tuesday

January 27, 2015

January 27, 2015

Posted by **Sara** on Monday, April 11, 2011 at 2:24am.

Solving the euqation using the properties of logarithms

How do you do this?

- calculus -
**drwls**, Monday, April 11, 2011 at 5:21amI will assume that all logs have the same base.

log(3x -9) = log [3^2*(x+3)/(3^3]

= log[(x+3)/3]

Therefore

3x -9 = (x+3)/3

9x -27 = x +3

8x = 30

x = 3.75

Check:

log (3x -9) = log 2.25 = 0.35218

2log3 -log27 + log(6.75)

= 0.95424 -1.43136 + 0.82930

= 0.35218

It makes no difference what log base you choose, as long as it is the same for all terms. (I chose base 10 when checking)

**Answer this Question**

**Related Questions**

math(Please help) - 1) use the properties of logarithms to simplify the ...

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

Precalculus - I'm studying for my precalc exam and have completed 42 practice ...

Algebra 2 logarithms - Use the properties of logarithms to evaluate the ...

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

Logarithms - What's the best way to find Angles using logarithms and vice-versa...

algebra 2 logaithms - Use the properties of logarithms to evaluate/simplify the...

Logarithms - Use the properties of logarithms to find the exact value of the ...

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

Math - Find the exact solution, using common logarithms, and a two-decimal-place...