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Allushta [10]
3 years ago
10

How would you compute 2^n = 8 to find n?

Mathematics
2 answers:
Lapatulllka [165]3 years ago
7 0

Answer:

n = 3

Step-by-step explanation:

2^n = 8

log(2^n) = log(8)

n * log(2) = log(8)

n = log(8)/log(2)

n = 3

Best of Luck!

Dahasolnce [82]3 years ago
5 0

Answer:

n = 3

Step-by-step explanation:

We use log to find <em>n.</em>

log₂(8) = 3

2³ = 8

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If f(x)=3x+1 and g(x)=1x what is the value of (f-g)(2)
Lyrx [107]

f(x) 3x+1

g(x) 1x

f(1x) = 3(1x)+1

f = 3x+1

g(3x+1) = 1(3x+1)

g = 3x+1

6 0
3 years ago
1. It costs $15.50 to buy 8 yards of material. How much
Levart [38]

Answer:

if you can split it in half its: $38.75

if you cant its: $46.50

Step-by-step explanation:

half:

1. 8+8+4=20

2. 15.50 divided by 2 = 7.75

3. 7.75 + 15.50 + 15.50 = 38.75

not half:

1. 8+8+8= 24

2. 15.50 times 3 = 46.50

8 0
3 years ago
A diagonal of a cube measures square root 150cm. the diagonal of a face measures 10cm
leonid [27]

Answer: The finial answer is 15.8

This problem is just one about triangles! All of the faces of the cube are perpendicular to their adjacent faces, so the diagonal of one of the face will be a right angle with the edge of the cube. Thus, you can create a right triangle. Finally, use the Pythagorean Theorem to solve for x, the length of the side of the cube.

Step-by-step explanation:

6 0
3 years ago
Let f(x) = (5)^x+1 .Evaluate f (-3) without using a calculator
rewona [7]

Answer:

f\left(-3\right)=\frac{126}{125}

Step-by-step explanation:

Given

f\left(x\right)\:=\:\left(5\right)^x+1

Putting x = -3 to find f(-3)

f\left(-3\right)\:=\:\left(5\right)^{\left(-3\right)}+1

as

5^{-3}=\frac{1}{125}       ∵  \mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}

so

f\left(-3\right)=\frac{1}{125}+1

\mathrm{Convert\:element\:to\:fraction}:\quad \:1=\frac{1\cdot \:125}{125}

f\left(-3\right)=\frac{1\cdot \:\:125}{125}+\frac{1}{125}

\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}

f\left(-3\right)=\frac{1\cdot \:\:125+1}{125}

f\left(-3\right)=\frac{126}{125}      ∵ 1\cdot \:125+1=126

Thus,

f\left(-3\right)=\frac{126}{125}

6 0
4 years ago
Find the value of x so that the figures have the same area.<br><br> 25ft, x-6 ft<br><br> x ft, 15ft
levacccp [35]
X=11ft
25-6=14
So ur answer is actually 3
3 0
4 years ago
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