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saveliy_v [14]
3 years ago
12

What is the solution of the equation 2X = 7? Round your answer to the nearest ten-thousand.

Mathematics
1 answer:
Andru [333]3 years ago
4 0

Answer:

x =2.8074

Step-by-step explanation:

2^x = 7

Take the log of each side

log (2^x) = log (7)

We know  log a^b = b log a

x log 2 = log 7

x = log (7) / log 2

x =2.80735

To the nearest tenth thousandth

x =2.8074

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Which expressions are equivalent to R16? Check all that apply.
Ilya [14]

Option C:  (6^{-4})^{-4}

Option D:  (6^{-2})^{-8}

Option F:  (6^8)^2

Solution:

Given expression: 6^{16}

To find which expression is equivalent to the given expression.

Let us solve this using exponent rule: \left(a^{b}\right)^{c}=a^{b c}

Option A: (6^{0})^{16}

(6^{0})^{16}=6^{0 \times 16}= 6^0

It is not equivalent expression.

Option B: (6^8)^8

(6^{8})^{8}=6^{8 \times 8}= 6^{64}

It is not equivalent expression.

Option C:  (6^{-4})^{-4}

(6^{-4})^{-4}=6^{(-4 )\times (-4)}= 6^{16}

It is equivalent expression for the given expression.

Option D:  (6^{-2})^{-8}

(6^{-2})^{-8}=6^{(-2) \times (-8)}= 6^{16}

It is equivalent expression for the given expression.

Option E:  (6^{-1})^{16}

(6^{-1})^{16}=6^{(-1) \times 16}= 6^{-16}

It is not equivalent expression.

Option F:  (6^8)^2

(6^{8})^{2}=6^{8 \times 2}= 6^{16}

It is equivalent expression for the given expression.

Hence (6^{-4})^{-4}, \ (6^{-2})^{-8}, \ (6^8)^2 are the equivalent expressions.

Option C, Option D and Option F are correct answers.

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How much is 1/12 minus 3/4
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