Devin's Make up

Exponents:

1. b^x * b^y = b^x + y....example: 2^3 * 2^5 = 2^8

2. b^x/b^y = b^x - y....example: 5^7/5^4 = 5^3

3. (ab)^x = a^xb^x....example: (3 * 7)^3 = 3^3 * 7^3

4. (a/b)^x = a^x/b^x....example: (3/5)^3 = 3^3/5^3

5. (b^x)^y = b^xy....example: (2^2)^3 = 2^6

6. b^x/y = y^√b^x....examples: 5^3/4 = 3^√5^3

7. to solve for exponents:

• write as the same base
• set exponents equal
• then solve for x

examples:

(a). 5^3x = 5^7x - 2

Examples:
log3^9=2
In order to solve, you need to put this into exponential form...
3^2=9
...and that is your answer.

log2^16=4
2^4=16

log5^125=x
5^x=125 (if it asks for exponential form)
x=3 (if it says to solve)

log x=2
10^2=x
x=100

logx^8=3
x^3=8
x=2