All categories

3 years ago

Using the change of base formula, evaluate log312 (round to the nearest hundredth).

Mathematics

2 answers:

blsea [12.9K]3 years ago

6 0

Answer:

2.26

Step-by-step explanation:

Given: log base 3 and 12

Using the base rule, we can write it as

= log 12 / log 3

Now we can find the value of log 12 and log 3 using a calculator.

= 1.07918124 /0.477121754

=2.26

The answer is 2.26

Hope this will helpful.

Thank you.

Anika [276]3 years ago

3 0

The awnser would be .48 hope this helps

You might be interested in

Write an equation in slope intercept form for the line that passes through (5,-1) (6,-1)

kow [346]

Slope intercept form:

(y2-y1)/(x2-x1)

(-1-(-1)/(6-5)=

0/1=

Slope is zero

So, since y is always -1 and the slope is zero, the equation will e

y= -1

3 0

3 years ago

Select the function that represents a parabola with zeros at x = –2 and x = 4, and y-intercept (0,–16). A ƒ(x) = x2 + 2x – 8 B ƒ

Ahat [919]

Answer:

D. $f(x) = 2\cdot x^{2}-4\cdot x -16$

Step-by-step explanation:

Any parabola is modelled by a second-order polynomial, whose standard form is:

$y = a\cdot x^{2}+b\cdot x + c$

Where:

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

$a$ , $b$ , $c$ - Coefficients, dimensionless.

In addition, a system of three linear equations is constructed by using all known inputs:

(-2, 0)

$4\cdot a -2\cdot b + c = 0$ (Eq. 1)

(4, 0)

$16\cdot a + 4\cdot b +c = 0$ (Eq. 2)

(0,-16)

$c = -16$ (Eq. 3)

Then,

$4\cdot a - 2\cdot b = 16$ (Eq. 4)

$16\cdot a + 4\cdot b = 16$ (Eq. 5)

(Eq. 3 in Eqs. 1 - 2)

$a - 0.5\cdot b = 4$ By Eq. 4 (Eq. 4b)

$a = 4 + 0.5\cdot b$

Then,

$16\cdot (4+0.5\cdot b) + 4\cdot b = 16$ (Eq. 4b in Eq. 5)

$64 + 12\cdot b = 16$

$12\cdot b = -48$

$b = -4$

The remaining coeffcient is:

$a = 4 + 0.5\cdot b$

$a = 4 + 0.5\cdot (-4)$

$a = 2$

The function that represents a parabola with zeroes at x = -2 and x = 4 and y-intercept (0,16) is $f(x) = 2\cdot x^{2}-4\cdot x -16$ . Thus, the right answer is D.

6 0

4 years ago

Write a rational expression in which x simplifies to x+3/x-10

tino4ka555 [31]

Answer:

Below.

Step-by-step explanation:

[(x - 3)(x +3)] / [(x - 3)(x - 10)]

The x-3 cancels out.

4 0

3 years ago

Lynn Jude and Anne were given the function f(x)=2x^2+6, and they were asked to find f(-4). Lynns answer was 38, Judes answer was

Cerrena [4.2K]

Answer:

Lynn's answer 38 is correct

2(-4)^2+6

2(16)+6

32+6=38

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers

Please solve the system of equations below thank you<br> explain if u can

ivanzaharov [21]

First let’s try to cancel out the x
5x + -5x = 0
Add the y and the numbers together
-3y + -2y = -5y
26 + -16 = 10
-5y = 10
y = -2
Use y=-2 in one of the equations
-3(-2) + 5x = 26
6 + 5x = 26
5x = 20
X = 4

So
Y= -2
X= 4

https://mathsmadeeasy.co.uk/gcse-maths-revision/simultaneous-equations-gcse-maths-revision/

Check this link out for more help!

7 0

3 years ago