Which property is being demonstrated? 7³. 7⁵ =7³+⁵= 7⁸

Mathematics

1 answer:

natali 33 [55]2 years ago

8 0

Answer:

Step-by-step explanation:

Multiplying powers with same base

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How to do this?

Mandarinka [93]

This equation uses two properties of logarithms:

$\ln(g^x) = x \ln(g)$

$\ln(a) + \ln(b) = \ln(ab)$

So you could take the ln from left and right hand side in the equation, and get:

(2-x)ln 3 = x ln 5

then

2 ln 3 - x ln 3 - x ln 5 = 0 =>

x(ln 3 + ln 5) = 2 ln 3

so x = 2 ln 3 / (ln3 + ln5)

Now using the 1st property you can say 2 ln 3 is ln 3² = ln9
and using the 2nd property you can say ln3 + ln5 = ln15

so x= ln9 / ln15

7 0

3 years ago

A box of cashews peanuts and almonds contains 270 nuts. for every 5 cashews there are 6 peanuts and 7 almonds. How many more are

yKpoI14uk [10]

For every 5 cashews, there are 6 peanuts and 7 almonds.

Means: Cashews:Peanuts:Almonds = 5:6:7

Sum of ratio = 5 + 6 +7 = 18

Cashews = (5/18) * 270 = 75

Peanuts = (6/18) * 270 = 90

Almonds = (7/18) * 270 = 105

So how many more what are there than peanuts?

The number of that nuts Minus the number of peanuts.

= Number of that nuts - 90

5 0

3 years ago

One end of a line segment has the coordinates (-6,2). If

CaHeK987 [17]

Answer:

The coordinates of the other end is $(16,2)$