All categories

4 years ago

Help please, and explain.

Mathematics

2 answers:

Sati [7]4 years ago

8 0

Step-by-step explanation:

Here we make use of the laws of logarithms:

log_a(PQ) = log_a(P)+log_a(Q)

which implies the following corollary

log_a(P^2) = log_a(P)+log_a(P) = 2log_a(P)

Notice how the log of a product is reduced to the sum of the log of the factors. (Advantage is taken of this fact in the use of logarithm tables before the wide-spread use of electronic calculators (pre-70's) )

So substituting

x=log_a(3)

y=log_a(5)

we have

log_a(45) = log_a(3^2 * 5) = log_a(3^2) + log_a(5)=2log_a(3)+log_a(5)

=2x+y

Korvikt [17]4 years ago

4 0

Answer: 2x + y

Step-by-step explanation:

logₐ(3) = x

logₐ(5) = y

logₐ(45) = logₐ(3²· 5)

= logₐ(3)² + logₐ(5)

= 2 logₐ(3) + logₐ(5)

= 2 x + y substituted given values (stated above)

You might be interested in

Which of the statements is false about the additive identity?

RUDIKE [14]

B) If y is the additive identity is 0

3 0

3 years ago

Please help me Question 3 of 5

umka21 [38]

Answer:

Step-by-step explanation:

8 0

3 years ago

F(x) = -x^2 Find f(3)

Lemur [1.5K]

Answer:

Step-by-step explanation:

f(x) = -x^2

f(3) = -3^2

f(3) = 9

5 0

3 years ago

4x10^-6 + 6.8x10^7=

kirill115 [55]

I typed it in a calculator and got 68,000,000, so just correct me if im wrong.

4 0

3 years ago

Write 9x-3y=-69 x − 3 y = − 6 in slope-intercept form. Make sure you show all steps and inverse operations.Write 9x-3y=-69 x − 3

Goryan [66]

Answer:

y = 3x + 23 and

$y = \frac{1}{3}x + 2$

Step-by-step explanation:

The first equation is 9x - 3y = - 69 and we have to write it in slope-intercept form.

Now, 9x - 3y = - 69

⇒ 3x - y = - 23 {Dividing both sides by 3}

⇒ 3x + 23 = y

⇒ y = 3x + 23 {Interchanging the sides} (Answer)

The second equation is x - 3y = - 6 and we have to write it in slope-intercept form.

Now, x - 3y = - 6

⇒ x + 6 = 3y

⇒ 3y = x + 6 {Interchanging the sides}

⇒ $y = \frac{1}{3}(x + 6)$ {Dividing both sides by 3}

⇒ $y = \frac{1}{3}x + 2$ (Answer)

3 0

3 years ago