Answer:
9
Step-by-step explanation:
Using the rules of logarithms
log
= nlogx
b = 1
Then

= 9
x
= 9
Given:
Expression is

To prove:
If r is any rational number, then
is rational.
Step-by-step explanation:
Property 1: Every integer is a rational number. It is Theorem 4.3.1.
Property 2: The sum of any two rational numbers is rational. It is Theorem 4.3.2.
Property 3: The product of any two rational numbers is rational. It is Exercise 15 in Section 4.3.
Let r be any rational number.
We have,

It can be written as

Now,
3, -2 and 4 are rational numbers by property 1.
is rational by Property 3.
are rational by Property 3.
is rational by property 2.
So,
is rational.
Hence proved.
Volume of prism = area of base * height
as both prism are similar so,
if in smaller prism Length is 5 then in Larger it is 15 that is multiple of 3
similarly , breath and height will be also multiple of 3
so, V1 = 60
then V2 = 60 *3*3*3 = 1620 cubic cm
hope it helped
Answer:
5 hours 20 minutes.
Step-by-step explanation:
8 * 2/3
= 16/3
= 5 1/3
= 5 hours 20 minutes.
1.) 12+x is greater than or equal to 20
2.) 14 is greater than it equal to x
3.) 50 is greater than or equal to x