Answer:
21 miles
Step-by-step explanation:
Each of the distances is the same, so we have ...
5x +4 = 15x -30
34 = 10x
3.4 = x
Then the distances are ...
5(3.4) +4 = 21 . . . . miles
Bert and Ernie each live 21 miles from Big Bird's nest.
12 muffins = 1 cup
x = 1 1/4 cups
x = 5/4 cups
cross multiply:
12*5 / 4 = x * 1
3 * 5 = x
x = 15
Answer = 15 Muffins
Other way:
1 1/4 cups = how many muffins
you already know 1 cup = 12 muffins
remaining 1/4 cups = how many muffins?
1/4 of 12 = 3
So 12 + 3 = 15 muffins
Answer:
V≈157.08
Step-by-step explanation:
I hope this helps
1
a. 29/16
b. 16*29
c 14*29
so a and c are not equivalent
Solution:
we have been asked to explain
How can exponential equations with unequal bases be solved?
So Suppose we have an example of exponential equations with unequal bases as
![a^x=b^{x-3}](https://tex.z-dn.net/?f=%20a%5Ex%3Db%5E%7Bx-3%7D%20)
This can be solved by taking logarithm on both the sides we get
![Loga^x=Logb^{x-3}](https://tex.z-dn.net/?f=%20Loga%5Ex%3DLogb%5E%7Bx-3%7D%20)
Using the Logarithmic exponent property we can write
![xLoga=(x-3)Logb](https://tex.z-dn.net/?f=%20xLoga%3D%28x-3%29Logb%20)
![xLoga=xLogb-3Logb](https://tex.z-dn.net/?f=%20xLoga%3DxLogb-3Logb%20)
![x(Loga-Logb)-=-3Logb](https://tex.z-dn.net/?f=%20x%28Loga-Logb%29-%3D-3Logb%20)
![x=\frac{-3Logb}{Loga-Logb}\\](https://tex.z-dn.net/?f=%20x%3D%5Cfrac%7B-3Logb%7D%7BLoga-Logb%7D%5C%5C%20)
From here either we can simplify it further or we can substitute the values using calculator and on simplification we will get the final answer.
Hence we can solve using Logarithm.