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1 year ago

Write at least two examples that illustrates why logb (x+y) =/= logb(x) + logb(y).

Mathematics

1 answer:

Eddi Din [679]1 year ago

4 0

The examples that illustrates why logb (x+y) =/= logb(x) + logb(y) are:

$Log3_2 + Log 6_2\\Log12_2 + Log 4_2\\Log4_2 + Log 4_2$

<h3>Calculations and Parameters</h3>

Based on the fact that they are of the same base,

Mathematical operations can be done on them as shown above.

Thus, $Log3_2 + Log 6_2\\Log12_2 + Log 4_2\\Log4_2 + Log 4_2$

This is because they are of the same base and this is why mathematical operations can be performed on them.

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Answer:

In bold.

Step-by-step explanation:

a. (x+5)^2 – 3x(x+5) x+5 is common

= (x + 5)(x + 5 - 3x)

= (x + 5)(5 - 2x)

b. (x + 5)(5 - 2x) = 0

x = -5, 2.5.

2a. Area of the square = (x + 5)^2

Area of triangle AEB

= 1/2 * base * height

I am assuming that H is the centre of AB , so

Area = x*x

= x^2.

6x^2 = (x + 5)^2

6x^2 = x^2 + 10x + 25

5x^2 - 10x - 25 = 0

x^2 - 2x - 5 = 0

x = [-(-2) +/- sqrt(2^2 - 4*1*-5)] / 2

x = -1.45, 3.45.

(we ignore the negative).

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