Which expressions are equivalent to 3√128x?

Mathematics

1 answer:

harina [27]3 years ago

7 0

Answer:

24sqrt(2)x

Step-by-step explanation:

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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

Find the measure of and angle between o degrees and 360 degrees coterminal with an angle of 399 degrees in standard position

horrorfan [7]

Answer:

39 degrees.

Step-by-step explanation:

We want an angle x such that 0 < x < 360 and angle x is coterminal with an angle of measure 399 degrees.

so x = 399 - 360 = 39 degrees

5 0

3 years ago

Determine the number of real solutions of -2x^2+5x-3=0