Question

solve for x.$3^{(x-7)}-3=24$options:no solution1083

Explanation:

Step1: Isolate the exponential term

Add 3 to both sides.
$3^{(x-7)} - 3 + 3 = 24 + 3$
$3^{(x-7)} = 27$

Step2: Rewrite right side as power of 3

Express 27 as $3^3$.
$3^{(x-7)} = 3^3$

Step3: Equate exponents and solve

Set exponents equal (same base).
$x - 7 = 3$
$x = 3 + 7$
$x = 10$

Answer:

10