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marusya05 [52]
3 years ago
5

I need help please ????!!!!

Mathematics
1 answer:
allsm [11]3 years ago
3 0

Answer:

x= -13

Step-by-step explanation:

because 2 squared is 4 and -13 + 4= -9

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if given log(a)=b, where no base is stated, we assume base 10, or log(a)=log_{10}(a)

also, log_a(b)=c translates to/can be written equivilently as a^c=b


therefore, given

log(-13)=? where we want to find ?

assume base 10 and translate

10^?=-13

since we cannot raise a positive number to any real power and give a negative number, ? is not a real number and therefore, there are no real solutions


if we do want to find a solution, we can use Euler's idendity

e^{\pi i}=-1 where i is the complex number i=√-1 and e is euler's number

we can try to change bases to find the value of ?

e^{\pi i}=-1

13e^{\pi i}=-13

so

13e^{\pi i}=10^?

taking ln of both sides

ln(13e^{\pi i})=ln(10^?)

using log rules

ln(13)+(\pi i)ln(e)=(?)ln(10)

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divie both side by ln(10)

\frac{ln(13)+\pi i}{ln(10)}=?

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?=\frac{ln(13)}{ln(10)}+\frac{\pi}{ln(10)}i



there are no real numbers that it evaluates to

however, it does evaluate to a complex number which is \frac{ln(13)}{ln(10)}+\frac{\pi}{ln(10)}i or aproximately 1.11394+1.36438i

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The answer can either be 1.25 or 2. As long as the value of A is greater than 1, the function is an exponential growth function.
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Answer:

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Step-by-step explanation:

We have to divide 8 3/4 by 1/4.

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