1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mila [183]
3 years ago
9

URGENT HELP ME PLEASE

Mathematics
1 answer:
Trava [24]3 years ago
5 0

Answer:

(a)\log_3(\dfrac{81}{3})=3

(b)\log_5(\dfrac{625}{25})=2

(c)\log_2(\dfrac{64}{8})=3

(d)\log_4(\dfrac{64}{16})=1

(e)\log_6(36^4)=8

(f)\log(100^3)=6

Step-by-step explanation:

Let as consider the given equations are \log_3(\dfrac{81}{3})=?,\log_5(\dfrac{625}{25})=?,\log_2(\dfrac{64}{8})=?,\log_4(\dfrac{64}{16})=?,\log_6(36^4)=?,\log(100^3)=?.

(a)

\log_3(\dfrac{81}{3})=\log_3(27)

\log_3(\dfrac{81}{3})=\log_3(3^3)

\log_3(\dfrac{81}{3})=3        [\because \log_aa^x=x]

(b)

\log_5(\dfrac{625}{25})=\log_5(25)

\log_5(\dfrac{625}{25})=\log_5(5^2)

\log_5(\dfrac{625}{25})=2        [\because \log_aa^x=x]

(c)

\log_2(\dfrac{64}{8})=\log_2(8)

\log_2(\dfrac{64}{8})=\log_2(2^3)

\log_2(\dfrac{64}{8})=3        [\because \log_aa^x=x]

(d)

\log_4(\dfrac{64}{16})=\log_4(4)

\log_4(\dfrac{64}{16})=1        [\because \log_aa^x=x]

(e)

\log_6(36^4)=\log_6((6^2)^4)

\log_6(36^4)=\log_6(6^8)

\log_6(36^4)=8            [\because \log_aa^x=x]

(f)

\log(100^3)=\log((10^2)^3)

\log(100^3)=\log(10^6)

\log(100^3)=6            [\because \log10^x=x]

You might be interested in
Graph of which exponential function passes through the points (0,4) and (1,24)?​
gavmur [86]

Answer:

see explanation

Step-by-step explanation:

The exponential function is of the form

y = a b^{x}

Substitute the given points into the equation to find a and b

Using (0, 4), then

4 = ab^{0} ⇒ a = 4

Using (1, 24), then

24 = 4 b^{1} ⇒ b = 6

Exponential function is

y = 4 × 6^{x}

3 0
3 years ago
HELPPP ME QUICKKKKK PLEASEEE GUYSSS NO BOTS OR I WILL REPORT Which of the following equations describes the line shown below? Ch
Shalnov [3]

I think its option b c and e

7 0
3 years ago
Find the slope of the line through (6,2) and(4 -2)
mestny [16]
The slope to your equation is
x=2
7 0
3 years ago
How many times does 5/8 go into 3 3/4?
muminat
5/8 times what=3 and 3/4
convert 3 and 3/4 to improper
3 and 3/4=3+3/4=12/4+3/4=15/4

5/8 times what=15/4
times both sides by 8/5
what=120/20
what=12/2
what=6

6 times
8 0
3 years ago
which statement is true about the polynomial 3x2y2 − 5xy2 − 3x2y2 2x2 after it has been fully simplified?
Tasya [4]

In simplifying polynomials, we need to remember that only like terms can be added or subtracted to each other. Also, the order of solving the basic operators should be followed which is PEMDAS.    

<span>3x2y2 − 5xy2 − 3x2y2 + 2x2

The first and the thrid term is equal to zero thus the polynomial is:

</span>− 5xy2 <span>+ 2x2
</span>
The polynomial has two terms with a degree of three.
4 0
3 years ago
Read 2 more answers
Other questions:
  • GIVING BRAINLIEST<br><br> Graphing required <br><br><br><br> Answer ASAP
    6·1 answer
  • What is 345,000 in expanded form
    10·1 answer
  • A triangle has sides of 2 inches and 7 inches which is a possible lenght,in inches of the third side of the triangle
    14·1 answer
  • Kimberly traveled to her friends house and went 300 miles in 5 hours. On her way home she took a different route and traveled 42
    5·1 answer
  • Can someone help asap​
    12·2 answers
  • Please Help! Math- Slope!
    11·1 answer
  • Ms lopezs room is 10 feet wide and 12 feet long. what is the perimeter HELPPPPPP
    11·2 answers
  • PLEASE HELP!!!
    10·1 answer
  • Easy one - giving brainly - show work.​
    13·2 answers
  • Three trigonometric functions for a given angle are shown below. Sine theta = Negative StartFraction 77 Over 85 EndFraction, cos
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!