Question Solve for $y$ when $x=3$ in the equation $y=2 \cdot 3^{x}$ .

Studdy Solution

STEP 1

Assumptions
1. The value of $x$ is given as $3$ .
2. The equation to solve for $y$ is $y = 2 \cdot 3^{x}$ .

STEP 2

Substitute the given value of $x$ into the equation.
$y = 2 \cdot 3^{3}$

STEP 3

Calculate the value of $3^{3}$ .
$3^{3} = 3 \cdot 3 \cdot 3$

STEP 4

Perform the multiplication to find the value of $3^{3}$ .
$3^{3} = 27$

STEP 5

Now, substitute the value of $3^{3}$ back into the equation for $y$ .
$y = 2 \cdot 27$

STEP 6

Perform the multiplication to find the value of $y$ .
$y = 2 \cdot 27 = 54$
Therefore, if $x=3$ , then $y=54$ .

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Question Solve for $y$ when $x=3$ in the equation $y=2 \cdot 3^{x}$ .

Studdy Solution

STEP 1

Assumptions
1. The value of $x$ is given as $3$ .
2. The equation to solve for $y$ is $y = 2 \cdot 3^{x}$ .

STEP 2

Substitute the given value of $x$ into the equation.
$y = 2 \cdot 3^{3}$

STEP 3

Calculate the value of $3^{3}$ .
$3^{3} = 3 \cdot 3 \cdot 3$

STEP 4

Perform the multiplication to find the value of $3^{3}$ .
$3^{3} = 27$

STEP 5

Now, substitute the value of $3^{3}$ back into the equation for $y$ .
$y = 2 \cdot 27$

STEP 6

Perform the multiplication to find the value of $y$ .
$y = 2 \cdot 27 = 54$
Therefore, if $x=3$ , then $y=54$ .

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Question Solve for yyy when x=3x=3x=3 in the equation y=2⋅3xy=2 \cdot 3^{x}y=2⋅3x.

Studdy Solution

STEP 1

Assumptions1. The value of xxx is given as 333.2. The equation to solve for yyy is y=2⋅3xy = 2 \cdot 3^{x}y=2⋅3x.

STEP 2

Substitute the given value of xxx into the equation.y=2⋅33y = 2 \cdot 3^{3}y=2⋅33

STEP 3

Calculate the value of 333^{3}33.33=3⋅3⋅33^{3} = 3 \cdot 3 \cdot 333=3⋅3⋅3

STEP 4

Perform the multiplication to find the value of 333^{3}33.33=273^{3} = 2733=27

STEP 5

Now, substitute the value of 333^{3}33 back into the equation for yyy.y=2⋅27y = 2 \cdot 27y=2⋅27

STEP 6

Perform the multiplication to find the value of yyy.y=2⋅27=54y = 2 \cdot 27 = 54y=2⋅27=54Therefore, if x=3x=3x=3, then y=54y=54y=54.

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Question Solve for $y$ when $x=3$ in the equation $y=2 \cdot 3^{x}$ .

Assumptions
1. The value of $x$ is given as $3$ .
2. The equation to solve for $y$ is $y = 2 \cdot 3^{x}$ .

Substitute the given value of $x$ into the equation.
$y = 2 \cdot 3^{3}$

Calculate the value of $3^{3}$ .
$3^{3} = 3 \cdot 3 \cdot 3$

Perform the multiplication to find the value of $3^{3}$ .
$3^{3} = 27$

Now, substitute the value of $3^{3}$ back into the equation for $y$ .
$y = 2 \cdot 27$

Perform the multiplication to find the value of $y$ .
$y = 2 \cdot 27 = 54$
Therefore, if $x=3$ , then $y=54$ .