Solve the equation 12x + 6y = 24 for x Answers above

Mathematics

1 answer:

Dominik [7]3 years ago

3 0

Answer:

Step-by-step explanation:

12x + 6y = 24

Subtract 6y on both sides.

12x = 24 - 6y

Divide 12 into both sides.

x = 24/12 - 6/12y

x = 2 - 1/2y

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Pair-1: $log_{2}x = 5$ ↔ 32
Pair-2: $log_{10}x = 3$ ↔ 1000
Pair-3: $log_{4}x = 2$ ↔ 16
Pair-4: $log_{5}x = 4$ ↔ 625

Explanation:

Pair-1:
$log_{2}x = 5 \\ \frac{ln(x)}{ln(2)} = 5 \\ ln(x) = 5 * ln(2) \\ x = e^{5*ln(2)} \\ x = 32$

Pair-2:
$log_{10}x = 3 \\ \frac{ln(x)}{ln(10)} = 3 \\ ln(x) = 3 * ln(10) \\ x = e^{3*ln(10)} \\ x = 1000$

Pair-3:
$log_{4}x = 2 \\ \frac{ln(x)}{ln(4)} = 2 \\ ln(x) = 2 * ln(4) \\ x = e^{2*ln(4)} \\ x = 16$

Pair-4:
$log_{5}x = 4 \\ \frac{ln(x)}{ln(5)} = 4 \\ ln(x) = 4 * ln(5) \\ x = e^{4*ln(5)} \\ x = 625$

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