Question

I need help with number 11 and number 12

Answer 1

6 and 3

Explanation:

Using the rules of logarithms

log
`x^(n)` ⇔ n log x

`log_(b)` x = n ⇒ x =
`b^(n)`

`log_(a)` a = 1

(11)

let 2
`log_(2)`8 = n , then

`log_(2)` 8² = n

`log_(2)` 64 = n

`log_(2)`
`2^(6)` = n

`2^(6)` =
`2^(n)`

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

n = 6

(12)

`log_(a)` a³

= 3
`log_(a)` a

= 3 × 1

= 3

Answer 2

11) 6

12) 3

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