The expression into a single logarithm is ![log[(x)^{10}][(2)^{30}]](https://tex.z-dn.net/?f=log%5B%28x%29%5E%7B10%7D%5D%5B%282%29%5E%7B30%7D%5D)
Step-by-step explanation:
Let us revise some logarithmic rules
∵ 10 log(x) + 5 log(64)
- At first re-write 10 log(x)
∴ 10 log(x) = 
- Then re-write 5 log(64)
∴ 5 log(64) = 
∴ 10 log(x) + 5 log(64) = +
- Use the 3rd rule above to make it single logarithm
∵ + = ![log[(x)^{10}][(64)^{5}]](https://tex.z-dn.net/?f=log%5B%28x%29%5E%7B10%7D%5D%5B%2864%29%5E%7B5%7D%5D)
∴ 10 log(x) + 5 log(64) =
∵ 64 = 2 × 2 × 2 × 2 × 2 × 2
∴ We can write 64 as 
∴ 
- Multiply the two powers of 2
∴ 
∴ 10 log(x) + 5 log(64) =
The expression into a single logarithm is
Learn more:
You can learn more about the logarithmic functions in brainly.com/question/11921476
#LearnwithBrainly
<span>(a^2+b^2)^2
since (a+b)^2=a^2+2ab+b^2, substitute a with a^2 and b with b^2, which yields:
a^4+2(a^2*b^2)+b^4</span>
Answer:
50.05 cm^2
Step-by-step explanation:
Ok so first lets find the area of the rectangle before finding the attached triangle. You have to imagine a line separating this shape into a triangle and rectangle.
The rectangle's size is 6.5x5.5=35.75 cm^2
The rectangle's size is 11.7-6.5 to get the base length, which is 5.2
The height is 5.5
So it's 5.2*5.5/2=14.3 cm^2
14.3+35.75=50.05 cm^2
A: coefficient 75, variable 35m, constant 25w
B:25x8=200+75=345
C:coefficient because instead of 75, it would be 95 changing the equation
Hopefully I did it right
