SOLUTION: Please help: I have solved this, but I'm unsure if it's right. ----------- ------ 1/2 log 25 base 6 + log x base 6 = log 20 base 6 --- log 25^1/2 base 6 + log x base 6 = log 2

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Question 611687: Please help:
I have solved this, but I'm unsure if it's right.
------------------
1/2 log 25 base 6 + log x base 6 = log 20 base 6
---
log 25^1/2 base 6 + log x base 6 = log 20 base 6
---
log 5 base 6 + log x base 6 = log 20 base 6
---
5+x=20
---
x=15
-----------
Did I do this right?

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
solve
1/2 log 25 base 6 + log x base 6 = log 20 base 6
1/2log6(25)+log6(x)=log6(20)
1/2log6(25)+log6(x)-log6(20)=0
place under single log
log6[√25x/20]=0
convert to exponential form
6^0=√25x/20=1
√25x=20
5x=20
x=4

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