Math / Algebra

QuestionTentukan nllai $f(x)=2^{2 x-4}$ Jika $x=3$

Studdy Solution

STEP 1

1. We have a function $f(x) = 2^{2x - 4}$ .
2. We need to determine the value of $f(x)$ when $x = 3$ .
3. The function involves an exponential expression where the base is 2.

STEP 2

1. Substitute the given value of $x$ into the function.
2. Simplify the exponent.
3. Evaluate the exponential expression.

STEP 3

Substitute $x = 3$ into the function $f(x) = 2^{2x - 4}$ .
$f(3) = 2^{2(3) - 4}$

STEP 4

Simplify the exponent in the expression.
$f(3) = 2^{6 - 4}$

STEP 5

Further simplify the exponent.
$f(3) = 2^2$

STEP 6

Evaluate the exponential expression.
$f(3) = 4$
The value of $f(x) = 2^{2x - 4}$ when $x = 3$ is $4$ .

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QuestionTentukan nllai $f(x)=2^{2 x-4}$ Jika $x=3$

Studdy Solution

STEP 1

1. We have a function $f(x) = 2^{2x - 4}$ .
2. We need to determine the value of $f(x)$ when $x = 3$ .
3. The function involves an exponential expression where the base is 2.

STEP 2

1. Substitute the given value of $x$ into the function.
2. Simplify the exponent.
3. Evaluate the exponential expression.

STEP 3

Substitute $x = 3$ into the function $f(x) = 2^{2x - 4}$ .
$f(3) = 2^{2(3) - 4}$

STEP 4

Simplify the exponent in the expression.
$f(3) = 2^{6 - 4}$

STEP 5

Further simplify the exponent.
$f(3) = 2^2$

STEP 6

Evaluate the exponential expression.
$f(3) = 4$
The value of $f(x) = 2^{2x - 4}$ when $x = 3$ is $4$ .

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QuestionTentukan nllai f(x)=22x−4f(x)=2^{2 x-4}f(x)=22x−4 Jika x=3x=3x=3

Studdy Solution

STEP 1

1. We have a function f(x)=22x−4f(x) = 2^{2x - 4}f(x)=22x−4.2. We need to determine the value of f(x)f(x)f(x) when x=3x = 3x=3.3. The function involves an exponential expression where the base is 2.

STEP 2

1. Substitute the given value of xxx into the function.2. Simplify the exponent.3. Evaluate the exponential expression.

STEP 3

Substitute x=3x = 3x=3 into the function f(x)=22x−4f(x) = 2^{2x - 4}f(x)=22x−4.f(3)=22(3)−4 f(3) = 2^{2(3) - 4} f(3)=22(3)−4

STEP 4

Simplify the exponent in the expression.f(3)=26−4 f(3) = 2^{6 - 4} f(3)=26−4

STEP 5

Further simplify the exponent.f(3)=22 f(3) = 2^2 f(3)=22

STEP 6

Evaluate the exponential expression.f(3)=4 f(3) = 4 f(3)=4The value of f(x)=22x−4f(x) = 2^{2x - 4}f(x)=22x−4 when x=3x = 3x=3 is 444.

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QuestionTentukan nllai $f(x)=2^{2 x-4}$ Jika $x=3$

1. We have a function $f(x) = 2^{2x - 4}$ .
2. We need to determine the value of $f(x)$ when $x = 3$ .
3. The function involves an exponential expression where the base is 2.

1. Substitute the given value of $x$ into the function.
2. Simplify the exponent.
3. Evaluate the exponential expression.

Substitute $x = 3$ into the function $f(x) = 2^{2x - 4}$ .
$f(3) = 2^{2(3) - 4}$

Simplify the exponent in the expression.
$f(3) = 2^{6 - 4}$

Further simplify the exponent.
$f(3) = 2^2$

Evaluate the exponential expression.
$f(3) = 4$
The value of $f(x) = 2^{2x - 4}$ when $x = 3$ is $4$ .