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Tcecarenko [31]
3 years ago
7

Write the logarithmic equation in exponential form log4 (1/4)^3 =-3

Mathematics
2 answers:
Sergeu [11.5K]3 years ago
8 0
The equation in exponentail form -->. 4^-3 = (1/4)^3 1/4^3 = 1/64 1/64 = 1/64
mr_godi [17]3 years ago
5 0
Remember
log(x^y)=ylog(x)
log_xy=m means x^m=y
also
x^-m=1/(x^m)
so

log_4(1/4)^3=-3 means 4^{-3}=(1/4)^3 or1/(4^3)=(1/4)^3=1/64=1/64

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(5+w)(w+4) in standard form
dlinn [17]

Answer:

  w² +9w +20

Step-by-step explanation:

Multiply it out, collect terms, and write as descending powers of w.

  (5+w)(w+4) = 5w +5·4 +w² +w·4

  = w² +9w +20

7 0
3 years ago
15. Which of the following equations was
arlik [135]

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c (m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (6, 0)

m = \frac{0-6}{6-0} = \frac{-6}{6} = - 1

Note the line crosses the y- axis at (0, 6 ) ⇒ c = 6

y = - x + 6 or y = 6 - x ⇒ B

3 0
3 years ago
Please help and thank you
Akimi4 [234]

Answer:

Its B. Hope it helps! <3

5 0
3 years ago
Read 2 more answers
Help!!!! Plssss!!! ASAP
zimovet [89]

Answer:

The y-intercept is (0,-26)

Step-by-step explanation:

Given two points P(a,b) and Q(c,d), the line that passes for both points can be found with the expression

\displaystyle y-b=\frac{d-b}{c-a}(x-a)

We'll take the first two points P(34,-52) and Q(51,-65) to find

y=-\frac{13}{17}(x-34)-52\\ \\y=-\frac{13}{17}x-26

Let's verify if the third point is on the line:

y=-\frac{13}{17}68-26=-52-26=-78

It belongs to the line. To find the y-intercept of the line, we set x to 0

y=-\frac{13}{17}(0)-26=-26

The y-intercept is (0,-26)

5 0
3 years ago
Driving at a constant speed, Daisy drove 360 miles in 6 hours. How many miles would she drive in 10 hours?
alexgriva [62]

Answer:

600

Step-by-step explanation: 360÷6=60 60×10=600

6 0
3 years ago
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