Answer:
Step-by-step explanation:
<u>Properties of Logarithms</u>
We'll recall below the basic properties of logarithms:
Logarithm of the base:
Product rule:
Division rule:
Power rule:
Change of base:
Simplifying logarithms often requires the application of one or more of the above properties.
Simplify
Factoring 
.
Applying the power rule:
Since
Applying the power rule:
Applying the logarithm of the base:
= 16 + 49 - 3(11) - 4(10)
= 16 + 49 - 33 - 40
= -8
-2 + Y = 8
Y = 10
Plug in Y to the first equation, 10 + 4 = X
X = 14
Answer:
Step-by-step explanation:
First, add two to both sides to get 
There are two ways to solve this from here
- Think about what power you would have to raise 9 to to get to 27.
= 3 and 
. So, multiplying the powers (because it is a power to a power) you get 
. This means that 
or x = . - Take the log of both sides.
This gives us 
