Question

I need help with number 11 and number 12

Answer 1

Answer:

6 and 3

Step-by-step 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

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