SOLUTION: Solve the equation by making the bases the same on each side of the equation 9^x=27

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Question 373930: Solve the equation by making the bases the same on each side of the equation
9^x=27
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
9%5Ex=27

Write 9 as (3²) and write 27 as 3³

%283%5E2%29%5Ex=3%5E3

Remove the parentheses on the left by multiplying
the exponent within the parentheses by the exponent
just above the right parenthesis:

3%5E%282x%29=3%5E3

When the bases are the same positive number and not
equal to 1, we may equate the exponents:

2x=3

x=3%2F2

Edwin