SOLUTION: 5.2 Solve the following exponential equation by expressing each side as a power of the same base and then equating exponents. 9^4x-12 =6,561 The solution set is { } I g

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 5.2 Solve the following exponential equation by expressing each side as a power of the same base and then equating exponents. 9^4x-12 =6,561 The solution set is { } I g      Log On


   



Question 1014353: 5.2
Solve the following exponential equation by expressing each side as a power of the same base and then equating exponents.
9^4x-12 =6,561
The solution set is { }
I got 4. Is this correct?

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

You should not have typed 9^4x-12 =6,561, for that does not
mean the same as this

9%5E%284x-12%29%22%22=%22%226561

You should have written it this way:

9^(4x-12) = 6561

When algebra has to be written all on one line and there is no way
you write either exponents above the line, or denominators below the
line, you must always enclose each expression in parentheses to show 
where numerators, denominators and exponents begin and end.
Otherwise what you write may be misinterpreted. 

Anyway, to find out if your answer is correct, check it and see:

9%5E%28%224%284%29%22-12%29%22%22=%22%226561

Do the operations on the left (do the exponent first)
and see if you get

6561%22%22=%22%226561

If you do, then you'll know 4 is the correct answer.
Otherwise you'll know you made a mistake.

Edwin