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grigory [225]
3 years ago
12

Convert the following Logarithmic Equation into a Exponential Equation. log_3(-2x+1)=-2y+6

Mathematics
1 answer:
Iteru [2.4K]3 years ago
8 0

Answer:

The conversion is given by 3^{-2y+6} = -2x+1.

Step-by-step explanation:

Logarithmic Equation to Exponential Equation:

To realize the conversion of a logarithmic equation to an exponential equation, we need to understand the meaning of a logarithim. We have that:

\log_{a} b = c

Means that:

b = a^c

We are given the following equation:

\log_{3} (-2x+1) = -2y + 6

It means that

3^{-2y+6} = -2x+1

Which is the conversion.

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A greatest common factor is the largest number that goes into two or more numbers (in this case two). To find the GCF of two numbers, we have to find the prime factorization (how to express a number as a product of prime numbers) and then see which numbers are common in both of the prime factorizations.

11. The prime factorization of 12 is 3 * 2 * 2. The prime factorization of 18 is 3 * 3 * 2. Looking at the prime factorizations, we can see that both of them have 3 and 2. That means that the GCF is 3 * 2 which is 6.

12. The prime factorization of 48 is 2 * 2 * 2 * 2 * 3. The prime factorization of 80 is 2 * 2 * 2 * 2 * 5. We see that the numbers shared are 2, 2, 2, and 2. That means that the GCF is 2 * 2 * 2 * 2 or 16.

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3 years ago
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Can someone double check this please
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Let the Total Number of dogs Larry has be : D

Let the Total Number of cats Larry has be : C

Given : Larry sold 5 dogs

:\implies  Remaining Number of dogs Larry has : D - 5

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3 0
3 years ago
A 12-sided number cube with the numbers 1 through 12 is rolled.
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4 years ago
If the ratio of surface areas of 2 similar figures is 144/25 ; What is the ratio of their volumes?
kkurt [141]

Answer:

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Step-by-step explanation:

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So ratio of lengths =  12/5.

Now volume is 3 dimensional  so the ratio is the cube  of the lengths

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Answer:

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