Question

solving exponential equation
this is a multi - part item.
to solve the equation $2^{x - 1}-7 = 9$, first

Explanation:

Step1: Isolate the exponential term

Add 7 to both sides of the equation.
$2^{x-1} - 7 + 7 = 9 + 7$
$2^{x-1} = 16$

Step2: Rewrite right side as power of 2

Express 16 as $2^4$ to match bases.
$2^{x-1} = 2^4$

Step3: Equate exponents and solve

Since bases are equal, set exponents equal.
$x - 1 = 4$
$x = 4 + 1$
$x = 5$

Answer:

The first step is to isolate the exponential term by adding 7 to both sides of the equation, resulting in $2^{x-1}=16$. The final solution for $x$ is $\boldsymbol{5}$.