SOLUTION: HELP! im not sure how to go about solving these 2 simple problems! 1) ln(5x) + ln(9) = ln(6x + 2) 2) 3^(2x +4)= 27^ (x-7) i really dont just want the answers, i want to un

Question 152548: HELP! im not sure how to go about solving these 2 simple problems!
1) ln(5x) + ln(9) = ln(6x + 2)
2) 3^(2x +4)= 27^ (x-7)
i really dont just want the answers, i want to understand how to do them, and why they work that way. if someone can please help me to understand this, i'd be very greatful. THANKS
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
1. Remember your log rule,

Then

.
.
.
2. Remember the exponentitation rule,

Then

RELATED QUESTIONS
I'm new to logs and I'm not sure how to answer these questions: (any help would be... (answered by ankor@dixie-net.com)

Solve: log base 4 (X) + Log base 8 (x) = 1 ln X/ln 4 + ln X/ln 8=1 2 ln X/2 ln 4 + ln... (answered by Fombitz)

I tried these problems but I'm not sure if they're right. There were 3 parts, or 3... (answered by Earlsdon)

I need help Soloving this equation! Not sure How to really Start the problem,... (answered by stanbon)

How do I solve these problems? 1. ln(5 - x) + ln(-3 - x) = ln(1 - 8x) 2.... (answered by josgarithmetic,MathTherapy)

I can not figure out the last steps on how the answer is attain Please help show each... (answered by mukhopadhyay)

Can I please get help solving these equations to find the value of x and can I please see (answered by greenestamps)

x= ln 3 + ln 4 - ln... (answered by jim_thompson5910)

ln(x+2)=ln(2x-1)+3 (answered by sdmmadam@yahoo.com,longjonsilver)