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Orlov [11]
3 years ago
13

What is log 81 base 3

Mathematics
1 answer:
shtirl [24]3 years ago
7 0

Answer:

4

Step-by-step explanation:

log_3 (81)

set equal to x

log_3 (81) = x

saying this out loud is "x equals 3 raised to what power is 81"

notice that it is the same as

3^x = 81

so x equals 4

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PLEASE HELP QUICK!! WILL OFFER 100 POINTS TO THE FIRST ONE THAT ANSWERS
Reil [10]

Given

x+1 = \sqrt{7x+15}

We have to set the restraint

x+1\geq 0 \iff x \geq -1

because a square root is non-negative, and thus it can't equal a negative number. With this in mind, we can square both sides:

(x+1)^2=7x+15 \iff x^2+2x+1=7x+15 \iff x^2-5x-14 = 0

The solutions to this equation are 7 and -2. Recalling that we can only accept solutions greater than or equal to -1, 7 is a feasible solution, while -2 is extraneous.

Similarly, we have

x-3 = \sqrt{x-1}+4 \iff x-7=\sqrt{x-1}

So, we have to impose

x-7\geq 0 \iff x \geq 7

Squaring both sides, we have

(x-7)^2=x-1 \iff x^2-14x+49=x-1 \iff x^2-15x+50 = 0

The solutions to this equation are 5 and 10. Since we only accept solutions greater than or equal to 7, 10 is a feasible solution, while 5 is extraneous.

7 0
3 years ago
The first term of a geometric sequence is 4 and the multiplier, or ratio, is –2. What is the sum of the first 5 terms of the seq
Ann [662]
C !.!.!.!.!!.!.!.!.!!.!!.!.!.!.!!!.!!!.!.!.
3 0
3 years ago
The teacher asked 4 students to measure 4 different objects. Here are the results
posledela

Answer:

<em>Student 3 had the greatest percentage error.</em>

Step-by-step explanation:

<u>Student 1</u>

Actual length = 50in

Measured length = 49in

Error = 50 - 49 = 1

Error% = 1/50 × 100

= 1 × 2

= 2%

<u>Student</u><u> </u><u>2</u>

Actual length = 100cm

Measured length = 110cm

Error = 100 - 110 = 10

Error% = 10/100 × 100

= 10 × 1

= 10%

<u>Student</u><u> </u><u>3</u>

Actual length = 2cm

Measured length = 2.5cm

Error = 2 - 2.5 = 0.5

Error% = 0.5/2 × 100

= 0.5 × 50

= 25%

<u>Student</u><u> </u><u>4</u>

Actual length = 10ft

Measured length = 9½ft

Error = 10 - 9½ = ½

Error% = ½/10 × 100

= ½ × 10

= 1 × 5

= 5%

#teamtrees#WAP

7 0
3 years ago
Traduce el enunciado a expresión algebraica La suma de dos números pares consecutivos
garri49 [273]

Answer:

The answer is "Expression: x+(x+2)".

Step-by-step explanation:

Given:

The sum of two consecutive even numbers

Proving:

Let,

The First number is = x

The second consecutive number is = x+2

Calculating value by adding value:

Expression:

\Rightarrow x+(x+2)\\\\

when x= 1, 2, 3 .... it gives:

\Rightarrow  1+(1+2)= 1+3=4\\\\\Rightarrow  2+(2+2)= 2+4=6\\\\\Rightarrow  3+(3+2)= 3+5=8\\

That's why the sum of consecutive numbers is even.

7 0
3 years ago
A technician charges $25 per hour plus $50 per hour for a house call to repair home computers. Make a table and a graph to show
nikitadnepr [17]
The graph starts at $75 since the price for call is $50 and 1 hour of work costs $25.

Direct variation is only noticeable at the beginning of the graph after that the function is linear.

I hope the answer helps. 

7 0
3 years ago
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