What is the solution to the equation 9^(x+1) =27
2 answers:
ANSWER
EXPLANATION
The given exponential equation is
The greatest common factor of 9 and 27 is 3.
We rewrite the each side of the equation to base 3.
Since the bases are equal, we can equate the exponents.
Expand the parenthesis to get:
Group similar terms
For this case we must solve the following equation:
We rewrite:
Then the expression is:
Since the bases are the same, the two expressions are only equal if the exponents are also equal. So, we have:
We apply distributive property to the terms within parentheses:
Subtracting 2 on both sides of the equation:
Dividing between 2 on both sides of the equation:
Answer:
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