Strategies for Solving Logarithmic Find X Equations

[geoffiez89@gmail.com]

ok I am having abit of trouble solving the find x type of questions
the 3 questions I've 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 don't know how to approach em

 

[dav2008]

Are you familiar with logarithmic identities?

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

 

[Integral]

You must have been studying the properties of logs.

What is logx + logy equivenent to?

What about alogx ? Look at your basic properties and think about how to apply them to your problem.

 

[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

 

[Integral]

Show us your work.

 

[geoffiez89@gmail.com]

oh its alright I've managed to figure out 2 and 3 after extensive rubbing out and many attempts lol now I am sure if i can do them that i should be able to do the first one