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RC Math Trick

Hey Mr.P Help!!

Solve:
48 ÷ 2(9 + 3)

So I randomly seen this equation on a forum, and It seems everyone is debating,between the answers. The answers people get is either 2 or 288.

I personally think it is 2.

Above I have broken it down to what people may think it looks like. Now the way I see it is the first one.

So what is the real answer? Because when I enter 48÷2(9+3) on my calculator I get 2. But on another calculator I get 288.

Logarithmic Theorems II

Logarithmic Theorems I

Soliving Exponential Equation

On Tuesday we learned about Solving Exponential Equation:

Exponential rules :

am an = am+n

am/an = a m-n

(am)n = amn

1/am = a -m

a0 =1

Steps :

1. Make the bases on each side equal

2. Cancel same bases

3. Solve the remaining exponent equation

Examples:

3-3k = 9

3-3k = 32

-3k = 2

k = - 2/3

5 3-2x X 5 3x-3 = 25

5 3-2x X 5 3x-3 = 5 2

3-2x + 3x-3 = 2

x =2

27 2n = 81 n-3

27 2n = 81 n-3

3 3(2n) = 3 4 ( n-3)

6n = 4n -12

2n = -12

n= -6

Exponential Functions

On Monday we learned about Exponential Functions.

The function f(x) = ab^x were a and b are real numbers such that a is not equal to zero,

b is greater than zero and b is not equal to one, is an exponential function where :

a is constant

b is a base

x is an exponent

Basic Curve : f(x) = a^x where a > 0

y = a ^-x will reflect the basic curve in the y- axis.

y = -a ^x will reflect the basic curve in the x- axis.

y = a ^x-h+k will shift the basic curve right by ‘h’ and up by ‘k‘

**Read ‘h’ values as opposite, ‘k’ values as is.**

An exponential function is said to be an increasing function when "a" is greater than 1.

An exponential function is said to be a decreasing function when "a" is greater than 0 and less than 1.

Note:

Example #1:

Sketch the following exponential functions on the same Cartesian plane.