SOLUTION: how do I solve 10^log base2 x=3

Question 735095: how do I solve
10^log base2 x=3
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

One possible solution:
Find the base 10 log of each side:

Now we can use a property of logarithms, , to rewrite the left side:

One of the properties of logarithms you should have learned is:

So log(10) = 1:

Now we rewrite the equation in exponential form. In general is equivalent to . Using this pattern on our equation we get:

If you want/need a decimal approximation for this answer then just enter the expression on the right side into your calculator.
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