S4 Log properties

If $\log_ax=5$ , then

• x = 5a.

• a = 5x.

•  $x=5^a$  

•  $x=a^5$  

 $\log_33^8=$  

• 1

• 2

• 8

•  $\frac{1}{8}$  

Which of the following is true?

• log 2 + log 4 = log 6

• 2log 4 = log 8

• $\frac{1}{2}\log25=\log5$

• $\log\left(x-y\right)=\log x-\log y$

If a and b are positive integers, then $\log\ \frac{a^b}{b^a}=$ 

•  $\frac{b\log a}{a\log b}$  .

• blog a - alog b.

•  $\left(b-a\right)\log\ \frac{a}{b}$  .

•  $\frac{b}{a}\left(\log a-\log b\right)$  

Expand $\log_bmn$  

•  $\log_bm\ -\ \log_bn$  

•  $\log_bm+\log_bn$  

•  $m\log_bn$  

•  $n\log_bm$  

Evaluate the following logarithm:

log₁₅0

• undefined

• 0

• 1

• 15

log ₁₇ 1

• 1

• 0

• 17

• 18

Rewrite log_x95 = 2.3

• x^2.3 = 95

• 95^2.3 = x

• 2.3⁹⁵ = x

• x⁹⁵ = 2.3