Answer:
To help in solving exponential equations when relating the bases cannot be used
Step-by-step explanation:
Recall an equation of the form
from the expression
,
is the base and the power is
.
it is impossible to carryout the operation since the bases are not equal.
This is where we implore the help of logarithm which help us to bring the base to a come base i.e using the property below
.
Hence we can conclude that logarithm helps in solving equations when bases cannot easily be related.
we are given that
both sides are equal
so, their length must be equal


now, we can find other side


now, we can set them equal


now, we can take square both sides

now, we can solve for p




..............Answer
A though without graphing software it would appear to be C
Step-by-step explanation:
The inverse of a function is the function reflected across the line y=x. This results in the coordinate points (x,y) of the function becoming (y,x) for the inverse function. Algebraically to find the inverse, switch the x and y locations and solve for y.
y = 7x^9
x = 7y^9
x/7 = y^9
(9)√(x/7) = y
This is a ninth root of (x/7) also written in exponents as y = (x/7)^(1/9).
This is a function. While it appears not to be a function because the middle portion over the origin appears vertical, it is a function because the middle portion over the origin is changing and graphing software shows it has no input with more than one output. Without graphing software you would rule it is not a function.
Answer:
5q^7
Step-by-step explanation:
When multiplying exponents(if positive), you must add them together. So, (5q^4)³ will be 5q^7 because the exponents were positive and they were multiplying so you add them together and leave the variable and number 5 alone.
Hope this helps! :)
The correct answer is C and E
Explain
A. 8x+4x=0
Now simply it
12x = 0
Now divide by 12 on both both side
X= 0
So this equation has the solution x= 0
B. 6x+2 = 4x+2+2x
Now both sides
6x+2=6x+2
Now simply by 6x+2 both sides
X= 0
So this equation has infinity solution
C. 4x-8x-3=6-4x
Now simply both sides
-4x-3=6-4x
Now simply
-3x=6
This equation have no solution
D. 5x+1 =1-5x
Now add 5x-1 on both sides
10=0
Now divide by 10
X= 0
This equation have solution x= 0
E. 12x-3-5x = 9+7x-6
Now simply both sides
7x-3= 7x+3
And subtract 7x from both sides
-3 = 3
So the equation has no solution
I hope this help you :D
Good luck