Solve for z. 2^z = 4 z = ____

Recognize equation and goal: Step 1: Recognize the equation and the goal. We need to find the value of z such that 2 raised to the power of z equals 4.Express 4 as power: Step 2: Express 4 as a power of 2. 4 can be written as 2^2.Set exponents equal: Step 3: Set the exponents equal to each other since the bases are the same. Since 2^z = 2^2, z must equal 2.

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Solve for $z$ . $\newline$ $2^z = 4$ $\newline$ $z = \_\_\_$

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Math Problems

Grade 8

Solve equations with variable exponents

Full solution

Q. Solve for

z

\newline

2^z = 4

\newline

z = \_\_\_

Recognize equation and goal: Step $1$ : Recognize the equation and the goal. $\newline$ We need to find the value of $z$ such that $2$ raised to the power of $z$ equals $4$ .
Express $4$ as power: Step $2$ : Express $4$ as a power of $2$ . $\newline$ $4$ can be written as $2^2$ .
Set exponents equal: Step $3$ : Set the exponents equal to each other since the bases are the same. $\newline$ Since $2^z = 2^2$ , $z$ must equal $2$ .