Respuesta :

jhansip1979

Step-by-step explanation:

a)2^8=256

2^5*2^x=2^8

5+x=8

x=8-5

x=3

b)(1/3)^6

(1/3)^2*(1/3)^x=(1/3)^6

2+x=6

x=6-2

x=4

therefore the value of x in a is 3

and the value of x in b is 4

hope it helps u...pls mark it as the brainliest answer..

abidemiokin

a) The value of x is 3

b) The value of x is 5

Powers and indices

Given the expression [tex]2^5\cdot 2^x = 256[/tex]

Using the law of indices, the equation becomes;

[tex]2^{5+x} = 2^8\\5 + x = 8\\x = 8 -5 \\x = 3[/tex]

Hence the value of x is 3

b)

[tex](\frac{1}{3})^2 \cdot (\frac{1}{3})^x = (\frac{1}{729})\\(\frac{1}{3})^{2+x} =(\frac{1}{729}) \\(\frac{1}{3})^{2+x} =(\frac{1}{3^7}) \\3^{-(2+x)}=3^{-7}\\-2-x = -7\\x = 5[/tex]

Hence the value of x is 5

Learn more on indices here: https://brainly.com/question/10339517

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