SOLUTION: Solve for the unknown variable: a)sqrt9^x=27 b)8^(1/2x)=(2^7)*(4^9) c)sqrt125^x=5/25^x Can someone PLEASE help me ???

Question 125675: Solve for the unknown variable:
a)sqrt9^x=27
b)8^(1/2x)=(2^7)*(4^9)
c)sqrt125^x=5/25^x Can someone PLEASE help me ???
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
a)
Square both sides:
(Don't bother calculating , it won't be necessary)
But and , so

Use the rule:

So,

Check:

, answer checks.

b) Do you mean: or do you really mean:

Either way: Notice that and , so:

Either:

So either or
And or

You should be able to use the same techniques to solve the last one. For part c get everything represented by powers of 5. and
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