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Elena-2011 [213]
3 years ago
9

Solve 4x+2=12 for using the change of base formula logby=logy over logb

Mathematics
2 answers:
s2008m [1.1K]3 years ago
8 0

Answer:

log₄ 10 = log₁₀ 10 / log₁₀ 4

Step-by-step explanation:

Taking the x to be a power then;

4^x +2 =12

4^x = 12-2

4^x=10

Introduce log on both sides

x log 4= log 10

x= log 10/log 4

log₄ 10 = log₁₀ 10 / log₁₀ 4

deff fn [24]3 years ago
3 0

Answer: x = log₄(3/4)  = -0.207

Step-by-step explanation:

when you have the equation:

n^x = b

whe have that:

Logₙ(b) = x

in this case we have the equation:

4^(x+2) = 12

(4^x)*(4^2) = 12

16*4^x = 12

4^x = 12/16 = 3/4

x = log₄(3/4)  = -0.207

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5.0

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Using Pythagorean Theorem:

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Pythagoras Theorem is usually applied when finding one missing side of a right-angle triangle.

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A population of 1,750 cheetahs decreases by 10% per year. How many cheetahs will there be in the population after 11 years? Roun
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Answer:

The answer is C. 546.

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After 1 year:     1750 * 0.89 ≈ 1558

After 2 years:  1558 * 0.89 ≈ 1387

After 3 years:  1387 * 0.89 ≈ 1234

After 4 years:  1234 * 0.89 ≈ 1098

After 5 years:  1098 * 0.89 ≈ 977

After 6 years:  977 * 0.89 ≈ 870

After 7 years:  870 * 0.89 ≈ 774

After 8 years:  774 * 0.89 ≈ 689

After 9 years:  689 * 0.89 ≈ 613

After 10 years:  613 * 0.89 ≈ 546

Step-by-step explanation:

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3 years ago
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5 0
3 years ago
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evablogger [386]

Answer:

x=9

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