Logarithm

Task 1

A to the power of m times a to the power of n equals a to the power of m plus n in bracket. A to the power of m over a to the power of n equals a to the power of m minus in bracket. Logarithm b to the base a equals n, so b equals a to the power of n. logarithm a to the base g equals x, a equals g to the power of x. logarithm b to the base g equals y, so b equals g to the power of y. What about of logarithm a times b in bracket to the base g??? Answer:

1. Logarithm a to the base g equals x, so a equals g to the power x.

2. Logarithm b to the base g equals y, so b equals g to the power.

3. a times b equals g to the power x times g to the power y.

4. a times b equals g to the power x plus y in bracket.

5. Logarithm a times b in bracket to the base g equals x plus y in bracket Logarithm g to the base g. (Logarithm g to the base g equals one)

6. So, Logarithm a times b in bracket to the base g equals Logarithm a to the base g plus Logarithm b to the base g

a over b equals g to the power x over g to the power y. a over b equals g to the power x minus y in bracket. Logarithm a over b the base g equals Logarithm g to the power x minus y in bracket.

Task 2

Equation :

1. a x to the power two plus b x plus c equals 0.

2. a x to the power two plus b x equals minus c

3. x to the power two plus b over a x equals minus c over a

4. x to the power two plus b over a x plus b over two times a in bracket to the power two equals minus c over a plus b over two times a in bracket to the power two ( plus b over a x plus b over two times a in bracket to the power two both internode)

5. x plus b over two times a in bracket to the power two equals b to the power two minus four times a times c all over four times a to the power two.

6. X plus b over two times b equals plus minus root square of b to the power two minus four times a times c all over four times a to the power two in bracket.

7. X plus b over two times b equals plus minus root square of b to the power two minus four times a times c in bracket all over two times a.

8. X one or x two equals open bracket minus b plus minus root square of b to the power two minus four times a times c close bracket all over two times a.

9. If a x to the power two plus b x plus c equals 0, so a, b, c, part or number Real and not zero.