Logarithm — Quiz 1

Questions in this quiz (6)

1. Find the value of $$\log(\frac{10^8}{100})$$

   • 6
   • 8
   • 10
   • 2

2. Which is equivalent to $$\log_a\left(\frac{a^5}{a^{12}}\right)$$?

   • 7
   • 5
   • -5
   • -7

3. Find the value of $$\log(x^y).$$

   • $$x\log(x)$$
   • $$\log(y)$$
   • $$x\log(y)$$
   • $$y \cdot \log(x)$$

4. If $$a = 10^{3x+4y}$$, find the value of $$\log a$$.

   • $$3x + 8y$$
   • $$6x + 4y$$
   • $$3x + 4y$$
   • $$3x + 12y$$

5. If $$\log_3 x = -4$$, find the value of $$x$$.

   • $$\frac{-3}{4}$$
   • $$\frac{3}{4}$$
   • $$\frac{-4}{3}$$
   • $$\frac{1}{81}$$

6. If $$\log_b 27 = \frac{2}{3}$$, what is $$b$$?

   • 27
   • 81
   • $$27^{3/2}$$
   • $$\frac{2}{3}$$