SOLUTION: Hello, I came across this problem and I'm unsure how to solve it: {{{ 5^(2x) * 5^(x+1) = 25 }}} Thank you so much to anyone who helps.

Algebra.Com
Question 1016259: Hello,
I came across this problem and I'm unsure how to solve it:

Thank you so much to anyone who helps.

Found 2 solutions by Edwin McCravy, macston:
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
  


Write 25 as a power of 5:



Add the exponents of 5 on the left



The bases are the same positive number other than 1,
therefore the exponents are equal:









 

Edwin

Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
.

.





.
CHECK:

.

.

.

.

.

.

.

RELATED QUESTIONS

Hi, I'm unsure on how to solve this problem: {{{ 7^(2x) = 49^(3x+1) }}} Thank you so (answered by Alan3354,ankor@dixie-net.com,Theo)
How do you solve the inequality (3/4)m - 5/6 ≤ (5/6)m - 3/4? I tried to do this... (answered by ReadingBoosters)
Hello my name is Shamaila and I have problem solving these problems. 1. 5x-3y=1 y=3x-7... (answered by ankor@dixie-net.com)
Hello to anyone who can help me and do thank you very much.I have four problem I need... (answered by stanbon)
Hello! I am unsure that this is the right topic to submit this question to, but I am... (answered by ankor@dixie-net.com)
Simplify (be sure to rationalize all denominators) 12. x^(3/4) + 5/[x^(1/4)] (you may (answered by fractalier)
Solve the compound inequality 6>-2x+5≤-5x+3 I am unsure how to do this... (answered by solver91311)
I am stuck on this problem because I am unsure how to solve it. √x ≤ 5 (answered by checkley79,MathTherapy)
Hello there, I am currently working on an optional summer packet for school, and I came... (answered by scott8148,nerdybill)