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malfutka [58]
3 years ago
5

Use properties of logarithms to expand the logarithmic expression as much as possible. where​ possible, evaluate logarithmic exp

ressions without using a calculator.
Mathematics
1 answer:
Grace [21]3 years ago
8 0
<span>Answer: Use properties of logarithm to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using calculator. log4(4/x) = log4(4) - log4(x) = 1 - log4(x) ------------------------------------------------------ Evaluate the expression without using a calculator. log7 1/root:7 log7(1/sqrt(7)) = log7(1) - log7(sqrt(7)) = 0 -(1/2)log7(7) = 0-1/2 = -1/2</span>
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Derrick is 4 years younger than twice his brothers age. Which expression could be used to find derricks age?
sladkih [1.3K]

Answer:

A. 2x-4

Step-by-step explanation:

Let his brother's age be x.

Derrick is 4 years younger than twice his brother's age. Which means derrick is 4 years younger than 2x.

Which makes derricks age 2x-4 since he is 4 years younger

8 0
4 years ago
What is the percent of increase for 20 to 36?
Rus_ich [418]

(new -original)/original * 100

(36-20)/20 * 100

16/20 * 100

.8*100

80

80% increase

7 0
4 years ago
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Nancy is very happy with the service at the hotel she is staying in. She wants to tip the room service waiter 15 percent of the
anyanavicka [17]
$18.11 because 20.75/x=100/15
<span>(120.75/x)*x=(100/15)*x       - </span>we multiply both sides of the equation by x
<span>120.75=6.6666666666667*x       - </span>we divide both sides of the equation by (6.6666666666667) to get x
<span>120.75/6.6666666666667=x </span>
<span>18.1125=x </span>
<span>x=18.1125</span>
7 0
3 years ago
Plz help me with this problem it’s not that hard at all !!
Brums [2.3K]

Answer:

43x-19y+74

hope this helps!!:)

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
( g(1) = 14<br> (g(n) = g(n − 1) – 4<br> Find an explicit formula for g(n).<br> g(n) =
I am Lyosha [343]

Answer:

g(n)=18-4n

Step-by-step explanation:

You are given the function g, for which

g(1)=14,\\\\g(n)=g(n-1)-4

Find some values of this function:

g(1)=14\\ \\g(2)=g(2-1)-4=g(1)-4=14-4=10\\ \\g(3)=g(3-1)-4=g(2)-4=10-4=6\\ \\g(4)=g(4-1)-4=g(3)-4=6-4=2\\ \\...

You can see that ecah next value is 4 less than previous one, so these values form an arithmetic sequence and you have to find the nth term of this sequence. The nth term of arithmetic sequence is

a_n=a_1+(n-1)d,

where

a_1=g(1)=14\\ \\d=-4

So,

g(n)=a_n=14+(n-1)\cdot (-4)=14-4n+4=18-4n

3 0
3 years ago
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