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3 years ago

How are exponents and logarithms related? give an example with you explanation

1 answer:

6 0

Exponents and logarithms are inverse functions, which means that exponents are the way to "undo" logarithms and logarithms are what you use to "undo" exponents. exponents tell you how many times you have to multiply a value and logarithms ask which exponent you need to use to get a specified value. exponential equations are used in a lot of scientific fields; for example, in biology, they're used to calculate the half-life of organisms. they can also be used to estimate the growth of a population. additionally, the richter scale, which measures the magnitude of earthquakes, uses logarithms.

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Please help<br><br>4(4+2x)=x(x+5)

lapo4ka [179]

Answer:

EF = 6

Step-by-step explanation:

Using the secant- secant power theorem, that is

GF × GE = GH × GS

4(4 + 2x) = 5(5 + x) ← distribute both sides

16 + 8x = 25 + 5x ( subtract 5x from both sides )

16 + 3x = 25 ( subtract 16 from both sides )

3x = 9 ( divide both sides by 3 )

x = 3

Then

EF = 2x = 2 × 3 = 6

3 0

2 years ago

What is the solution of log2 (3x-7) =3

Valentin [98]

Answer:

x = 5

Step-by-step explanation:

because the log is base 2 you can remove the log by raing 2 to the power of each side:

$2^{log2 (3x-7)} = 2^{3}$

the 2 and log2 cancel leaving:

$3x-7 = 2^{3}$

this means we can now solve through simple algebra:

$3x-7 = 8\\3x = 8 + 7\\3x = 15\\3x/3 =15/3\\x = 5$

7 0

3 years ago

Read 2 more answers

Greta is trying to determine the portion of green candies in various bags of green and yellow candies. Using the information bel

IrinaK [193]

Answer: a) $\dfrac{1}{3}$ b) $\dfrac{71}{100}$ c) $\dfrac{5}{9}$

Step-by-step explanation:

Since we have given that

There are green and yellow candies in each bag.

Bag A: Two thirds of the candies are yellow. What portion of the candies is green?

Part of yellow candies in bag A = $\dfrac{2}{3}$

Part of green candies in bag A would be

$1-\dfrac{2}{3}\\\\=\dfrac{3-2}{3}\\\\=\dfrac{1}{3}$

Bag B: 29 % of the candies are yellow. What portion of the candies is green?

Percentage of candies are yellow = 29%

Portion of candies are green is given by

$1-\dfrac{29}{100}\\\\=1-0.29\\\\=0.71\\\\=\dfrac{71}{100}$

Bag C: 4 out of every 9 candies are yellow. What portion of the candies is green?

Portion of yellow candies = $\dfrac{4}{9}$

Portion of green candies would be

$1-\dfrac{4}{9}\\\\=\dfrac{9-4}{9}\\\\=\dfrac{5}{9}$

Hence, a) $\dfrac{1}{3}$ b) $\dfrac{71}{100}$ c) $\dfrac{5}{9}$

6 0

2 years ago

Colin and Brian were playing darts. Colin scored 141. Brian scored 154 more than Colin. What was their combined score?

Aliun [14]

Answer:436

Step-by-step explanation:

Since Colin scored 141 and Brian scored 154 more than Colin that would be (154+141). So Brian scored 295, so you add Brian's score and Colin's so 295+141, the total score is 436

3 0

3 years ago

Question and answer in picture

Andrews [41]

Answer:

i think the answer is B but don't take my word for it

5 0

3 years ago

Read 2 more answers