SOLUTION: How do I solve these equations? a) {{{log(6,(x+5))+ log(6,x)=2}}} b) {{{logx=log (2,8)}}} Thank you very much for helping me.

SOLUTION: How do I solve these equations? a) {{{log(6,(x+5))+ log(6,x)=2}}} b) {{{logx=log (2,8)}}} Thank you very much for helping me.

Algebra.Com

Question 1043188: How do I solve these equations?
a)
b)
Thank you very much for helping me.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
(a)

The trick here is to express as a log base 6

Now you have:

( by looking at it )

--------------
won't work as an answer because you get

There is no way a real log to base 6 can give you a negative
number. Even negative logs give you positive answers.
So, is the answer
check:

OK
----------------------------
(b)

You should know that so

The base is assumed to be , so

OK
RELATED QUESTIONS
Please help me solve these: (a): log[x](6)=(1)/(2) and (b): log[x](3)=(1)/(3). I was... (answered by scott8148)

Can you please help me with these exponential/logarithmic equations? a) solve 2^x=14 b) (answered by stanbon)

Hi please help me with these three problems. I sure would appreciate your help.... (answered by stanbon,Nate)

Hi, could you please help me with these problems? 1. Evaluate log3 (3^8) 2. Find... (answered by stanbon)

How do I rewrite this expression as a logarithm of a single quantity? 3 (Im x - 2 In... (answered by jsmallt9)

how do you solve... (answered by Theo)

Solve the following: log(7)24−log7(x+5)=log(7)8... (answered by harpazo)

Thank you for helping me with the solution to the following problem. Our solutions do... (answered by funmath,josmiceli)

Would someone help me. Solve the following equations. Round to 4 decimals when... (answered by venugopalramana)