# Logarithm help

1. Apr 17, 2006

### geoffiez89@gmail.com

ok im having abit of trouble solving the find x type of questions
the 3 questions ive got are

1.) solve x for the following equation
loge(x) + loge(3x+1) = 1

2.) solve x
2loge(x) + loge4 = loge(9x-2)

3.) Given that loga(N) = 1/2(loga(24) - loga(0.375) - 6loga(3) ) find the value of N ..now i was wondering if ne-one would be able to help me with these types of questions cause i dont know how to approach em

2. Apr 17, 2006

### dav2008

Are you familiar with logarithmic identities?

$$log(a)+log(b)=log(ab)$$
$$log(a)-log(b)=log(\frac{a}{b})$$
$$b\cdot log(a)=log(a^b)$$

3. Apr 17, 2006

### Integral

Staff Emeritus
You must have been studying the properties of logs.

What is logx + logy equivenent to?

4. Apr 17, 2006

### geoffiez89@gmail.com

Yeah i am familiar with them and when i tried applying them i got answers that didnt match when i tried putting them in a ti-83 calculator to match u can use second table to get rough answers but i would appreciate being bale to do them without a calculator

5. Apr 17, 2006

### Integral

Staff Emeritus