Answer:
The option "StartFraction 1 Over 3 Superscript 8" is correct
That is
is correct answer
Therefore
Step-by-step explanation:
Given expression is ((2 Superscript negative 2 Baseline) (3 Superscript 4 Baseline)) Superscript negative 3 Baseline times ((2 Superscript negative 3 Baseline) (3 squared)) squared
The given expression can be written as
![[(2^{-2})(3^4)]^{-3}\times [(2^{-3})(3^2)]^2](https://tex.z-dn.net/?f=%5B%282%5E%7B-2%7D%29%283%5E4%29%5D%5E%7B-3%7D%5Ctimes%20%5B%282%5E%7B-3%7D%29%283%5E2%29%5D%5E2)
To find the simplified form of the given expression :
![[(2^{-2})(3^4)]^{-3}\times [(2^{-3})(3^2)]^2](https://tex.z-dn.net/?f=%5B%282%5E%7B-2%7D%29%283%5E4%29%5D%5E%7B-3%7D%5Ctimes%20%5B%282%5E%7B-3%7D%29%283%5E2%29%5D%5E2)
( using the property
)
( using the property 
( combining the like powers )
( using the property
)

( using the property
)
Therefore
Therefore option "StartFraction 1 Over 3 Superscript 8" is correct
That is
is correct answer
Answer: x=13
Step-by-step explanation:
Answer:
x = 5/2
Step-by-step explanation:
log4(x^2+5x)-log8(x^3)=1/log3(4)
log(x^2 + 5 x) / log(4) - log(x^3) / log(8) = log(3) / log(4)
log(x (x+5))/log(4) - log(x^3) / log(8) = log(3) / log(4)
(3 log(x (x+5)) - 2 log(x^3)) / log(64) = log(3) / log(4)
3 log(x (x+5)) - 2 log(x^3) = 3 log(3)
log((3 x)/(x+5))=0
x=5/2