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lakkis [162]
2 years ago
8

Urgent !! Convert the following equation to logarithmic or exponential form:

Mathematics
1 answer:
faust18 [17]2 years ago
3 0

Answer:

The exponential form is 49 to the power of one-half equals 7 ⇒ 4th answer

Step-by-step explanation:

The exponential equation of  log_{b}(m)=n  is b^{n}=m , where b is the base, n is the exponent of b and m is the value of b^{n}

Ex: If  log_{3}(81)=4 , that means b = 3 , n = 4 and m = 81, then its exponential form is 3^{4}=81

Now let us solve the question

∵ The equation is  log_{49}(7)=\frac{1}{2}

∴ The base is 49

∴ The exponent is \frac{1}{2}

∴ The answer is 7

- Substitute them in the form of the exponential form

∴ The exponential form is (49)^{\frac{1}{2}}=7

The exponential form is 49 to the power of one-half equals 7

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The degree of terms is a major deciding factor whether an equation is homogeneous or not. A polynomial of more that one variable is said to be homogeneous if the degree of each term is the same. For example, 2x^7+5x^5y^2-3x^4y^3+4x^2y^5 is a homogeneous polynomial of degree 7 in x and y.

You have a 4 term polynomial with 2 variables x and y. The highest degree in your equation is 5 (4 + 1 from the first term) so the degree of the multivariable polynomial expression is 6.

All these answers are correct, it just depends what you're studying. If some of these words are new, and others you recognize from class or your book, go with the one that looks familiar.

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