All categories

3 years ago

This math question is about logarithm

Mathematics

1 answer:

Mandarinka [93]3 years ago

7 0

Answer:

(k+2h)/(k+h)

Step-by-step explanation:

log 6 12 = (log a 12)/(log a 6) ( Log base change property)

log a 12 = log a (3*4) = log a 3 + 2*log a 2 = k+2h

log a 6 = log a (2*3) = log a 3 + log a 2 = k+h

log 6 12 = (k+2h)/(k+h)

You might be interested in

Find the surface area of the rectangular prism. justify your answer 3ft, 2ft, 4ft

Gelneren [198K]

Answer: $SA=52\ ft^2$

Step-by-step explanation:

The surface area of a rectangular prism can be calculated with the following formula:

$SA = 2wl + 2lh + 2hw$

Where "l" is the length of the rectangular prism, "w" is the width and "h" is the height.

In this case you can say that the length, the width and the heigth of this rectangular prism, are the following:

$l=4\ ft\\\\w=2\ ft\\\\h=3\ ft$

Knowing these values, you can substitute them into the formula shown before:

$SA = 2wl + 2lh + 2hw\\\\SA = 2(2\ ft)(4\ ft) + 2(4\ ft)(3\ ft)+ 2(3\ ft)(2\ ft)$

Finally, you must evaluate in order to calculate the surface area of the rectangular prism.

You get that this is:

$SA=2(8\ ft^2)+2(12\ ft^2)+2(6\ ft^2)\\\\SA=16\ ft^2+24\ ft^2+12\ ft^2\\\\SA=52\ ft^2$

4 0

4 years ago

How do you add with decimals step by step?

astra-53 [7]

Answer:

https://www.mathsisfun.com/adding-decimals.html

This has an explanation.

5 0

3 years ago

7-4x+2(5x+8). If x=-2

Rashid [163]

6 0

3 years ago

Read 2 more answers

Worth 5 points pls answer both questions

lianna [129]

Interest is basically a percentage that can be simple or compounded. Simple interest is the amount of a loan. Annual is a form of compounded interest. Compounded interest can be quarterly, monthly, weekly, yearly, etc.

I=Prt
We have to solve for r
r=r/100
7%/100
0.07 per year
Hope This Helps!

5 0

3 years ago

What is a30 for the arithmetic sequence presented in the table below?

Xelga [282]

$\bf \begin{array}{ll}
n&a_n\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
6&50\\
7&50+d\\
8&50+d+d\\
9&50+d+d+d\\
10&50+d+d+d+d\\
11&50+d+d+d+d+d\\
&35
\end{array}
\\\\\\
50+5d=35\implies 5d=-15\implies d=\cfrac{-15}{5}\implies d=-3
\\\\\\
\textit{we know d = -3, and we know }a_{11}=35\qquad thus$

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
d=-3\\
n=11\\
a_{11}=35
\end{cases}
\\\\\\
a_{11}=a_1+(11-1)(-3)\implies 35=a_1+(11-1)(-3)
\\\\\\
35=a_1-30\implies 65=a_1$

now we know what "d" is, and what a₁ is, so let's check the 30th term,

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
d=-3\\
n=30\\
a_{1}=65
\end{cases}
\\\\\\
a_{30}=65+(30-1)(-3)\implies a_{30}=65-87\implies a_{30}=-22$

8 0

4 years ago

This math question is about logarithm​

This math question is about logarithm