Hi there! We are given the expression:
To condense or simplify the following logarithm. You have to remember these properties:
Properties - Logarithm
These two properties are what we need for our problem. Therefore,
We use the log_b(a)^n = nlog_b(a) property to convert in the form above. Next, we use the second property.
Answer
- log base 4 of (a^5/b^6) is our simplifed form.
Any questions can be asked through comment as I may reply soon. Thanks for using Brainly! Have a good day and happy learning! :)
Answer:
19
Step-by-step explanation:
7x-7=126
add+7 to 126 and you will get 133
7x/133
x=19
Answer:
Hey there!
Consecutive integers mean that the numbers are next to each other.
Consecutive even integers mean that the numbers are separated by a number between them.
Thus, if x is the smaller number, x+2 can be used to write the larger number.
x+x+2=1594
2x+2=1594
2x=1592
x=796.
The two numbers are 796 and 798.
Let me know if this helps :)
Answer:
5 x^2 y^ (-3) z = ?
Step-by-step explanation:
We know the volume of a rectangular prism is given by
V = l*w*h
V = 2x^2 * y^-2 * ?
We are given the volume
V =10x^4 y^-5 z
Set the two equal
10x^4 y^-5 z = 2x^2 * y^-2 * ?
Divide each side by 2x^2 y^-2
10x^4 y^-5 z /2x^2 y^-2 = 2x^2 * y^-2 * ?/2x^2 * y^-2
10x^4 y^-5 z/ 2x^2 y^-2 = ?
Simplifying
10/2 * x^4/x^2 y^-5/ y^-2 z = ?
We know that a^b/ a^c = a^(b-c)
5 x^ (4-2) y^(-5 - -2) z = ?
5 x^2 y^ (-5 +2) z = ?
5 x^2 y^ (-3) z = ?
