We read your photo as:

Identify the numbers in the grid and express them as powers of a common base, if possible.

Chemistry

ScanSolve AI Answer

Step-by-step solution

5 steps
  1. Identify the numbers in the grid and express them as powers of a common base, if possible.

    The given numbers are 32, 8, and 128.
    We can express these numbers as powers of 2:
    32=2532 = 2^5
    8=238 = 2^3
    128=27128 = 2^7

    Let the missing number be XX. The grid can be represented by its exponents:

    [537log⁡2X]\begin{bmatrix} 5 & 3 \\ 7 & \log_2 X \end{bmatrix}
  2. Look for a pattern in the exponents.

    Consider the sum of the exponents in the first row:
    5+3=85 + 3 = 8

    Now, assume the same pattern applies to the second row, meaning the sum of the exponents in the second row is also 8.
    Let the exponent of the missing number be xx.
    7+x=87 + x = 8

  3. Solve for the missing exponent.

    x=8−7x = 8 - 7
    x=1x = 1

  4. Calculate the missing number.

    Since x=1x = 1, the missing number is 212^1.
    X=21=2X = 2^1 = 2

  5. Compare the result with the given options.

    The calculated missing number is 2.
    The options are:
    A. 4
    B. 3
    C. 6
    D. 2
    E. 8

    The calculated value matches option D.

    The final answer is D. 2\boxed{\text{D. 2}}.

Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp