Please help! 10 points! 16^x = 64^x +4 1) X =-12 2) x=-2 3) X =2 4)

Question

Please help! 10 points!

16^x = 64^x +4

1) X =-12

2) x=-2

3) X =2

4) x=12

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Valentina 2 months 2021-10-17T11:20:14+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-10-17T11:22:03+00:00

    Answer:

    Step-by-step explanation:

    Enter a problem…

    Algebra Examples

    Popular Problems Algebra Solve for x 64^(4x)=16^(x+1)

    64

    4

    x

    =

    16

    x

    +

    1

    Create equivalent expressions in the equation that all have equal bases.

    4

    3

    (

    4

    x

    )

    =

    4

    2

    (

    x

    +

    1

    )

    Since the bases are the same, then two expressions are only equal if the exponents are also equal.

    3

    (

    4

    x

    )

    =

    2

    (

    x

    +

    1

    )

    Solve for

    x

    .

    Tap for fewer steps…

    Multiply

    4

    by

    3

    .

    12

    x

    =

    2

    (

    x

    +

    1

    )

    Simplify

    2

    (

    x

    +

    1

    )

    .

    Tap for fewer steps…

    Apply the distributive property.

    12

    x

    =

    2

    x

    +

    2

    1

    Multiply

    2

    by

    1

    .

    12

    x

    =

    2

    x

    +

    2

    Move all terms containing

    x

    to the left side of the equation.

    Tap for fewer steps…

    Subtract

    2

    x

    from both sides of the equation.

    12

    x

    2

    x

    =

    2

    Subtract

    2

    x

    from

    12

    x

    .

    10

    x

    =

    2

    Divide each term by

    10

    and simplify.

    Tap for fewer steps…

    Divide each term in

    10

    x

    =

    2

    by

    10

    .

    10

    x

    10

    =

    2

    10

    Cancel the common factor of

    10

    .

    Tap for fewer steps…

    Cancel the common factor.

    10

    x

    10

    =

    2

    10

    Divide

    x

    by

    1

    .

    x

    =

    2

    10

    Cancel the common factor of

    2

    and

    10

    .

    Tap for fewer steps…

    Factor

    2

    out of

    2

    .

    x

    =

    2

    (

    1

    )

    10

    Cancel the common factors.

    Tap for fewer steps…

    Factor

    2

    out of

    10

    .

    x

    =

    2

    1

    2

    5

    Cancel the common factor.

    x

    =

    2

    1

    2

    5

    Rewrite the expression.

    x

    =

    1

    5

    The result can be shown in multiple forms.

    Exact Form:

    x

    =

    1

    5

    Decimal Form:

    x

    =

    0.2

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