Use the laws of logarithms to find the value of x such that log, x = log, 5 + log, 6 – log, 3 and enter the value of x in the box below. (your answer should be a number.)

x = 10

Step-by-step explanation:

Using the laws of logarithms you can rewrite the equation:

log, x = log, 5 + log, 6 – log, 3

log, x = log, (5*6) – log, 3

log, x = log, 30 – log, 3

log, x = log, (30 / 3)

log, x = log, 10

since you have log on both sides they cancell each other and you get

x = 10

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional