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3 years ago

Solve logs (8 - 3x) = log20 for x. A. X = 14 B. X = -13 C.x = -8 D. X= -4

Mathematics

2 answers:

Natali [406]3 years ago

7 0

Answer:

$\boxed{\sf x = -4}$

Step-by-step explanation:

$\sf Solve \: for \: x \: over \: the \: r eal \: numbers:$

$\sf \implies log(8 - 3x) = log 20$

$\sf Cancel \: logarithms \: by \: taking \: exp \: of \: both \: sides:$

$\sf \implies 8 - 3x = 20$

$\sf Subtract \: 8 \: from \: both \: sides:$

$\sf \implies 8 - 3x - 8 = 20 - 8$

$\sf \implies - 3x = 12$

$\sf Divide \: both \: sides \: by \: - 3:$

$\sf \implies \frac{-3x}{-3} = \frac{12}{-3}$

$\sf \implies x = - 4$

Annette [7]3 years ago

3 0

Answer:

x = -4

Step-by-step explanation:

logs (8 - 3x) = log20

Since we are taking the log on each side

log a = log b then a = b

8 -3x = 20

Subtract 8 from each side

8 -3x-8 =20 -8

-3x = 12

Divide by -3

-3x/-3 = 12/-3

x = -4

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3 years ago

Find the simple interest and amount when principal = Rs. 6000, rate = 6% per annum and time = 4 years

Alinara [238K]

Given:

Principal = Rs. 6000

Rate of simple interest = 6% per annum.

Time = 4 years

To find:

The simple interest and amount.

Solution:

Formula for simple interest:

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Putting P=6000, r=6 and t=4, we get

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3 years ago

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Answer:

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Step-by-step explanation:

The missing diagram is shown in the attachment.

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