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3 years ago

For what value of x does 3^4x=27^x-3?

Mathematics

2 answers:

dalvyx [7]3 years ago

8 0

Answer:

x= - 9

Step-by-step explanation:

This problem bothers on the law of indices

Given the expression

3^4x=27^x-3

We can also simplify it using the law

3^4x= 3^3(x-3)

Equating the powers we have

4x= 3(x-3)

Opening bracket

4x= 3x-9

Collecting like terms we have

4x-3x=-9

x=-9

Indices are used to show numbers that have been multiplied by themselves. They can also be used to represent roots, such as the square root, and some fractions. The laws of indices enable expressions involving powers to be manipulated more efficiently than writing them out in full.

Setler79 [48]3 years ago

4 0

x=4.80989686

by simplifying both sides of the equation, then isolating the variable.

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3 years ago

Multiplying a trinomial by a trinomial follows the same steps as multiplying a binomial by a trinomial. Determine the degree and

FinnZ [79.3K]

Answer: Degree of polynomial (highest degree) =4

Maximum possible terms =9

Number of terms in the product = 5

Step-by-step explanation:

A trinomial is a polynomial with 3 terms.

The given product of trinomial: $(x^2 + x + 2)(x^2 - 2x + 3)$

By using distributive property: a(b+c+d)= ab+ac+ad

$(x^2 + x + 2)(x^2 - 2x + 3)=(x^2 + x + 2) x^2+(x^2 + x + 2) (-2x)+(x^2 + x + 2)(3)\\\\=x^2(x^2)+x(x^2)+2(x^2)+x^2 (-2x)+x (-2x)+2 (-2x)+x^2 (3)+x (3)+2 (3)\\\\\\=x^4+x^3+2x^2-2x^3-2x^2-4x+3x^2+3x+6$

Maximum possible terms =9

Combine like terms

$x^4+x^3-2x^3+3x^2-4x+3x+6\\\\=x^4-x^3+3x^2-x+6$

Hence, $\left(x^2\:+\:x\:+\:2\right)\left(x^2\:-\:2x\:+\:3\right)=x^4-x^3+3x^2-x+6$

Degree of polynomial (highest degree) =4

Number of terms = 5

6 0

2 years ago

Mayra's monthly salary is $4,540 plus she earns an 8% commission on her sales each month. Mayra's sales for January were $30,000

lesantik [10]

Work out 8% of 30000

10% of 30000 is 3000

1% of 30000 is 300
2% of 30000 is 300x2=600

Therefore 10%-2%= 3000-600=2400

It therefore follows that Mayra earned 4540 + 2400 = 6940 for January

7 0

3 years ago

Please answer this equation what is the answer to 1/4(k-1)=10

laiz [17]

$\frac{1}{4}(k-1)=10^{(4} \\\\ k-1=40 \\\\ k=40+1 \\\\ \boxed{k=41}$