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Vesnalui [34]
1 year ago
7

I need help on this logarithmic equation I need it solved step by step * It asks to solve it in terms of x. *

Mathematics
1 answer:
Rashid [163]1 year ago
3 0

To solve the function in terms of x:

\log _{4^x}2^a=3

find the power of the subscripts of the log

\begin{gathered} \log _{4^x}2^a=3 \\ \log _{2^{2x}}2^a=3 \\ \frac{a}{2x}\log _22=3 \\ \text{where }\log _22=1 \\ \frac{a}{2x}=3 \end{gathered}

cross multiply the expression

\begin{gathered} \frac{a}{2x}=3 \\ a=3(2x) \\ a=6x \end{gathered}

Therefore the correct answer of a = 6x

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Which shows solutions to X+4y=9 if X and y must be whole numbers? A. {(0,9)(1,5)(2,1)} B.{(2,1)(1,6)(0,9)} C.{(1,2)(5,1)(9,0) D.
Dafna11 [192]
The answer here is C. Let's proof.

Since we are dealing with whole numbers, select a constant for x to satisfy that y will result a whole number.
If x = 1, then the function would be 1 + 4y = 9. Solving for y,
4y = 9 - 1
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y = 2
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4 0
3 years ago
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The diameter of a beach ball is 10 inches. How many cubic inches of air can the beach ball hold? Use 3.14 for pie . Round to the
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Distance between two points, d, is given by
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Answer:

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Step-by-step explanation:

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