Respuesta :

Answer:

11) 6

12) 3

Step-by-step explanation:

2 log 2 8

so 2(log2 8)

Base 2 so 2^x=8 so 3.

2*3 is 6.

log a a cubed

base a so a^ x = a^3

x=3

so 3.

Hope this helps ;D

Answer:

6 and 3

Step-by-step explanation:

Using the rules of logarithms

log[tex]x^{n}[/tex] ⇔ n log x

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

[tex]log_{a}[/tex] a = 1

(11)

let 2 [tex]log_{2}[/tex]8 = n , then

[tex]log_{2}[/tex] 8² = n

[tex]log_{2}[/tex] 64 = n

[tex]log_{2}[/tex] [tex]2^{6}[/tex] = n

[tex]2^{6}[/tex] = [tex]2^{n}[/tex]

Since bases on both sides are equal, equate the exponents, that is

n = 6

(12)

[tex]log_{a}[/tex] a³

= 3 [tex]log_{a}[/tex] a

= 3 × 1

= 3

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