Algebra-1

To solve the equation 27^2x = 3^x-7 using the same base method, we can rewrite both sides with the same base. Let's rewrite 27 as a power of 3:

27 = 3³

Now we have:

(3³)^(2x) = 3^(x-7)

Using the exponent rule for raising a power to a power, we can simplify the left side:

3^{(3 * 2x)} = 3^(x-7)

Simplifying the exponents:

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