Choose the single logarithmic expression that is equivalent to the one shown 5 log x + 3 log x^2

Mathematics

1 answer:

natali 33 [55]4 years ago

4 0

5 log x+3 log x^2
=log x^5+log x^(2×3)
=log x^5+ log x^6
=log (x^5×x^6)
=log x^(5+6)
=log x^11

Answer: log x^11

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Use synthetic division to solve (2x3+4x2 – 35x+15) +(x-3). What is the quotient?

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Given:

$(2x^3+4x^2-35x+15)\div (x-3)$

To find:

The quotient by using the synthetic division.

Solution:

We have,

$(2x^3+4x^2-35x+15)\div (x-3)$

Here,

Dividend = $(2x^3+4x^2-35x+15)$

Divisor = $x-3$

The coefficient of dividend are $2, 4, -35, 15$ . Write the coefficients of the dividend on the top row and we need to use 3 as divisor for synthetic division. The synthetic division is show below:

$3 | 2\quad \quad 4\quad \quad -35\quad \quad 15\\\quad{}\quad{} \quad \quad \ 6\quad \quad \ \ \ 30\quad -15\\\overline{\quad 2\quad \quad 10\quad \quad -5\quad \quad 0\ \ \ }$