Final Answer
$x=5$
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Step-by-step Solution
Problem to solve:
$\frac{2^x}{2^2}=2^3$
Specify the solving method
1
Simplify the fraction by $2$
$2^{\left(x-2\right)}=8$
Learn how to solve exponential equations problems step by step online.
$2^{\left(x-2\right)}=8$
Learn how to solve exponential equations problems step by step online. Solve the exponential equation (2^x)/(2^2)=2^3. Simplify the fraction by 2. Rewrite the number 8 as a power with base 2 so that we have exponentials with the same base on both sides of the equation. If the bases are the same, then the exponents must be equal to each other. We need to isolate the dependent variable x, we can do that by simultaneously subtracting -2 from both sides of the equation.
Final Answer
$x=5$