SOLUTION: How do you do 10(.35) to the X power equals 4

Question 548200: How do you do 10(.35) to the X power equals 4
Found 2 solutions by Alan3354, mathie123:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
How do you do
I'm doing ok, how you doing?
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10(.35) to the X power equals 4
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Not sure what that means, clarify your equation.

Answer by mathie123(224) (Show Source): You can put this solution on YOUR website!
I think what you mean is solve

So we need to isolate the x. Notice how we cannot just multiply 10 and 0.35 as this is breaking the rules of BEDMAS. Instead I will divide both sides by 10 to attain:

Now a general rule to remember is if you have a variable in the exponent that you are trying to solve for, take logs of both sides :

The reason we do this is we have a rule that says

Using this rule we can bring the exponent x down to leave

And now dividing both sides by log(0.35) we get:

I will let you do this calculator work (remembering to use proper brackets).
Hopefully this helps:)
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