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Oliga [24]
3 years ago
12

Verify each of the following by evaluating the logarithms. log10(103) + log10(104) = log10(107)

Mathematics
1 answer:
ioda3 years ago
7 0

Answer:

log₁₀(10³) + log₁₀(10⁴)

= log₁₀( 10³ × 10⁴ )

= log₁₀( 10³⁺⁴)

= log₁₀( 10⁷)

Step-by-step explanation:

Given:

log₁₀(10³) + log₁₀(10⁴) = log₁₀(10⁷)

Now,

we know the property of log function that

log(A) + log(B) = log(AB)

therefore,

applying the above property on the LHS, we get

log₁₀(10³) + log₁₀(10⁴) = log₁₀( 10³ × 10⁴ )

also,

xᵃ + xᵇ = xᵃ⁺ᵇ

therefore,

log₁₀( 10³ × 10⁴ ) = log₁₀( 10³⁺⁴)

= log₁₀( 10⁷)

Hence,

LHS = RHS

Hence proved

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Masja [62]
Hello : 
the solution is : <span>(3, -1)
put  x= 3 and y = -1
you have : 3-(-1) = 4   and  3+(-1) = 2 ..... right</span>
7 0
3 years ago
Read 2 more answers
Simipified the exprestion -1.7+(-6.3).On the test when maureen simipified the exression she got -4.6. What mistake did maureen l
Rasek [7]

Answer:

Maureen ignored the negative(minus) sign in 1.7 thereby turning it into positive 1.7

Step-by-step explanation:

-1.7 + (-6.3)

Correct simplification

-1.7 + (-6.3)

Open parenthesis

= - 1.7 - 6.3

= -8

NOTE:

- * + = -

- * - = +

+ * - = -

+ * + = +

Maureen's simplification

-1.7 + (-6.3)

= 1.7 - 6.3

= -4.6

Maureen ignored the negative(minus) sign in 1.7 thereby turning it into positive 1.7

4 0
3 years ago
CAN SOMEONE PLS HELP MEEEEEEE
k0ka [10]

9514 1404 393

Answer:

  1. 6x +y = -6
  2. 6x -y = 8
  3. 5x +y = 13

Step-by-step explanation:

To rewrite these equations from point-slope form to standard form, you can do the following:

  • eliminate parentheses
  • subtract the x-term
  • subtract the constant on the left
  • if the coefficient of x is negative, multiply by -1

Of course, any operation you do must be done <em>to both sides of the equation</em>.

__

1. y -6 = -6(x +2)

  y -6 = -6x -12 . . . . . eliminate parentheses

  6x +y -6 = -12 . . . . . add 6x

  6x +y = -6 . . . . . . . . add 6

__

2. y +2 = 6(x -1)

  y +2 = 6x -6

  -6x +y +2 = -6

  -6x +y = -8

  6x -y = 8 . . . . . . . . multiply by -1

__

3. y -3 = -5(x -2)

  y -3 = -5x +10

  5x +y -3 = 10

  5x +y = 13

_____

<em>Additional comment</em>

The "standard form" of a linear equation is ax+by=c for integers a, b, c. The leading coefficient (generally, 'a') should be positive, and all coefficients should be mutually prime (have no common factors). That is why we multiply by -1 in problem 2.

7 0
3 years ago
If a is a positive integer and b is a negative integer, which expression must be positive?
nydimaria [60]

So, let's solve all of them and see:

a - (-b) = a + b ⇒ can be either positive or negative, depending on the numbers

a + (-b) = a - b ⇒ can either be positive or negative, depending on the numbers

a * (-b) = a * (-b) ⇒ negative answer no matter what

a / (-b) = a / (-b) ⇒ negative answer no matter what


So the answer is:

<em>"None of the above"</em>.


Hope it helped,


BioTeacher101


(If you have any questions, feel free to ask them in the comments)

4 0
3 years ago
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Which conditional has a true converse? Select all that apply
Andrej [43]
The answer is b I hope this helps
3 0
3 years ago
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