SOLUTION: How do i solve this log5^7+1/2log5^4=log5^x

Question 473939: How do i solve this log5^7+1/2log5^4=log5^x
Answer by ccs2011(207) (Show Source): You can put this solution on YOUR website!
Use the following log rules:
log(a) + log(b) = log(ab)
log(a) - log(b) = log(a/b)
log(a^n) = n*log(a)
-->
-->
-->
Now the equation looks like this:

Add like terms

Divide by log(5) on both sides

Solution is x = 9
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