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Bas_tet [7]
3 years ago
15

Logarithms are studied for which of the following​ reasons? A. To help in solving exponential equations when relating the bases

cannot be used. B. To make​ student's lives miserable. C. To be able to solve complex logarithmic equations. D. To validate the logarithmic properties.
Mathematics
1 answer:
skad [1K]3 years ago
7 0

Answer:

To help in solving exponential equations when relating the bases cannot be used

Step-by-step explanation:

Recall an equation of the form

a^{x}=b\\ from the expression a^{x}\\, a\\ is the base and the power is {x}\\.

a\neq b\\ it is impossible to carryout the operation since the bases are not equal.

This is where we implore the help of logarithm which help us to bring the base to a come base i.e using the property below

loga^{x}=logb\\x=\frac{logb}{loga} \\.

Hence we can conclude that logarithm helps in solving equations when bases cannot easily be related.

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The sum of jack and his father age is 52.
Sedbober [7]

Answer:Jack is 9 and the father is 43

7 0
3 years ago
The description below represents Function A and the table represents Function B: Function A The function is 2 more than 5 times
Vlad [161]

Answer:

The slope of Function A is greater than the slope of function B  while the y-intercept of Function  B is greater than the y-intercept of function A.

Step-by-step explanation:

Function A is f(x) = 5x + 2

The slope is 5 and the y-intercept is (0, 2).

Function B. The slope is  (5-2) / (0- -1) = 3.

also (8-5) / (1 - 0) = 3

The slope is 3.

The y-intercept is at (0, 5) because one point on the graph is (0, 5).

7 0
3 years ago
A commercial property purchased for 1.2 million is revalued at 995,000. Calculate the percentage decrease in the property’s valu
soldi70 [24.7K]

Answer:

17%

Step-by-step explanation:

First: work out the difference (decrease) between the two numbers you are comparing. Then: divide the decrease by the original number and multiply the answer by 100.

First:

1,200,000 - 995,000 = 205,000

Then:

205,000 / 1,200,000 = 0.17

0.17 × 100% = 17%

4 0
3 years ago
Read 2 more answers
What is the length of the hypotenuse of the triangle?<br> A<br> 7 cm<br> B<br> 3 cm
photoshop1234 [79]

Answer

The answer would be 58

Step-by-step explanation:

3 to the power of 2 is 9

7 to the power of 2 is 49

add that you get 58

3 0
3 years ago
a sequence starts a 200 and 30 is subtracted each time 200,170,140 what are the first two numbers in the sequence that are kess
Snowcat [4.5K]
<h3>Answer:  -10 and -40</h3>

===============================================================

Explanation:

a = 200 = first term

d = -30 = common difference

Tn = nth term

Tn = a + d(n-1)

Tn = 200 + (-30)(n-1)

Tn = 200 - 30n + 30

Tn = -30n + 230

Set Tn less than 0 and isolate n

Tn < 0

-30n + 230 < 0

230 < 30n

30n > 230

n > 230/30

n > 7.667 approximately

Rounding up to the nearest whole number gets us n \ge 8

So Tn starts to turn negative when n = 8

We can see that,

Tn = -30n + 230

T7 = -30*7 + 230

T7 = 20

and

Tn = -30n + 230

T8 = -30*8 + 230

T8 = -10 is the 8th term

and lastly

Tn = -30n + 230

T9 = -30*9 + 230

T9 = -40 is the ninth term

Or once you determine that T7 = 20, you subtract 30 from it to get 20-30 = -10 which is the value of T8. Then T9 = -40 because -10-30 = -40.

5 0
3 years ago
Read 2 more answers
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