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
OLga [1]
3 years ago
7

Evaluate each logarithm. Do not use a calculator. Log (125)(1/25)

Mathematics
1 answer:
svetlana [45]3 years ago
6 0

Answer:

-2/3

Step-by-step explanation:

Log125(1/25)=x

Raise each side to the base of 125

125^Log125(1/25)=125^x

1/25 = 125^x

Rewrite 25 as a power of 5  and 125 as a power of 5

1 / 5^2 = 5^3^x

The if power is in the denominator, we can bring it to the numerator by making it negative

5^-2 = 5^3^x

We know that a^b^c = a^(b*c)

5^-2 = 5^(3*x)

Since the bases are the same, the exponents are the same

-2 = 3x

Divide by 3

-2/3 = 3x/3

-2/3 =x

You might be interested in
An object is moving at a speed of 4 feet per mimite. Express this speed in miles per week. Round your answer to the nearest hund
mafiozo [28]

Answer:

7.64 miles/week

Step-by-step explanation:

there are 5280 feet in a mile

and 10080 minutes in a week

so it's

4 * 10080 / 5280

the two big numbers where just gougled

6 0
3 years ago
Read 2 more answers
F(x)=3x^2 +x find f(-5)
Dovator [93]

Answer:

-225

Step-by-step explanation:

f(-5)= 3(-5)^2

f(-5)= -15^2

-225

8 0
3 years ago
13-11 × 1316 × 13-3 × 134 × 13-5
Mice21 [21]
2632*1340*-155*45*9198*14663*0*650*1310*18090
=0

3 0
3 years ago
Please help will give brainliest
mestny [16]

The area of triangle DEF is 2137.5 cm²

Solution:

Given data:

Area of ABC = 38 cm²

Scale factor = 7.5

To find the area of DEF:

<em>Area of dilated image = Area of original image × (scale factor)²</em>

Area of DEF = 38 × (7.5)²

                    = 2137.5 cm²

Area of DEF = 2137.5 cm²

The area of triangle DEF is 2137.5 cm²

3 0
3 years ago
Translate into algebraic exprssion. The sum of 20 and twice x..
Alex787 [66]

Answer:

2x+20

Step-by-step explanation:

hope this helps!

The sum is addition and twice x is 2 times x and thats 2x and then add 20 to it.

5 0
2 years ago
Other questions:
  • 7(2+5v)=3v+14 can anyone help???
    15·2 answers
  • How do you solve a problem involving squeeze theorem?
    14·1 answer
  • Kelvin's monthly allowance is $42 and Mike's monthly allowance is $63. How many times Mike's monthly allowance is Kelvin's month
    8·1 answer
  • PLS HELP! GIVING BRAINLIST!
    5·1 answer
  • Mhanifa please help im almost done!!
    9·1 answer
  • A sample of students was asked what political party do they belong. which of the following types of graphical display would be a
    5·1 answer
  • A number is 4 times another number. Their sum is 30.​
    13·1 answer
  • How to tell the difference between multiplication and division word problems?
    6·2 answers
  • Pls help fast / what do i put?
    12·1 answer
  • Keoni didn't have any start up money of his own, so his dad gave him $1000 to get
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!