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
OlgaM077 [116]
3 years ago
13

Evaluate: log1255a.1/3b.1/2c. 2/3​

Mathematics
2 answers:
emmasim [6.3K]3 years ago
5 0

\log_{125}(5)=\log_{5^3}(5)=\dfrac{1}{3}\log_5(5)=\dfrac{1}{3}\cdot1=\boxed{\dfrac{1}{3}}

Hope this helps.

r3t40

AleksandrR [38]3 years ago
3 0

Answer:

\frac{1}{3}

Step-by-step explanation:

Using the rule of logarithms

log_{b} x = n ⇔ x = b^{n}

let log_{125} 5 = n, then

5 = 125^{n}

note that 125 = 5³ ⇒ (5^3) ^{n} = 5^{3n}

Since bases are equal ( both 5) equate the exponents

3n = 1 ( divide both sides by 3 )

n = \frac{1}{3}

You might be interested in
Jenna and Corey solved the equation, 4(x+4) = 2( 2x+5) +6, and came up with two different solutions.
iogann1982 [59]

Answer: C

Step-by-step explanation:

They both end up equaling 4x+16 so they cancel each other out

6 0
3 years ago
Use a TENS fact to subtract 13 take away 5
podryga [215]
13 - 5 8 hic fhfgghgggfdfr
5 0
2 years ago
Fill in the blanks to complete the 4 part conclusion. There is suggestive, but inconclusive evidence the Velvetleaf seed beetle
Anarel [89]

Answer:

a) There is suggestive evidence the velvet leaf seed is successful at weed control.

b) Lower bound: 3.699 Upper bound: 6.629

c) Since the confidence interval contains the average percent of seeds to be infected by the beetle (5.164), so we fail to reject the null hypothesis at the specified level of significance.

Step-by-step explanation:

See attached picture.

3 0
3 years ago
Find the solution of the given initial value problems in explicit form. Determine the interval where the solutions are defined.
natali 33 [55]

Answer:

The solution of the given initial value problems in explicit form is y=x-x^2-2  and the solutions are defined for all real numbers.

Step-by-step explanation:

The given differential equation is

y'=1-2x

It can be written as

\frac{dy}{dx}=1-2x

Use variable separable method to solve this differential equation.

dy=(1-2x)dx

Integrate both the sides.

\int dy=\int (1-2x)dx

y=x-2(\frac{x^2}{2})+C                  [\because \int x^n=\frac{x^{n+1}}{n+1}]

y=x-x^2+C              ... (1)

It is given that y(1) = -2. Substitute x=1 and y=-2 to find the value of C.

-2=1-(1)^2+C

-2=1-1+C

-2=C

The value of C is -2. Substitute C=-2 in equation (1).

y=x-x^2-2

Therefore the solution of the given initial value problems in explicit form is y=x-x^2-2 .

The solution is quadratic function, so it is defined for all real values.

Therefore the solutions are defined for all real numbers.

4 0
3 years ago
Use the line graph to solve.
Ivahew [28]
0.10 m of difference <span>in water levels between Week 2 and Week 4</span>
5 0
3 years ago
Other questions:
  • In a class of 116 students, the number of boys is three times the number of girls. How many boys and how many girls are in the c
    8·1 answer
  • 2y is greater then or equal to 3x minus 16
    14·2 answers
  • Jacob kept track of the number of hours that he spent playing soccer each week for several weeks he spent 3, 6, 7, 8, and 11 hou
    13·1 answer
  • What is the answer?
    13·1 answer
  • Please help urgent!!!!! <br><br> Will mark brainlest or something like that
    5·1 answer
  • Stacy spins the pointer 120 times and records it. The pointer lands 30 times on a section numbered 2, 19 times on 3, 25 times on
    11·1 answer
  • What is the difference of the polynomials?<br> (5x^3+ 4x^2)-(6x^2-2x-9)
    5·2 answers
  • In a bag there are red, orange and black counters.
    14·1 answer
  • Can someone please help me?
    10·1 answer
  • <img src="https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B14%7D%20%2F%20%5Cfrac%7B4%7D%7B3%7D" id="TexFormula1" title="\frac{9}{14} / \
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!