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mixas84 [53]
3 years ago
15

What is the solution to log Subscript 5 Baseline (x + 30) = 3

Mathematics
1 answer:
Fittoniya [83]3 years ago
6 0

Answer:

x = 95

Therefore the solution is 95

Step-by-step explanation:

<u><em>What is the solution to log Subscript 5 Baseline (x + 30) = 3</em></u>

<u><em /></u>

log₅(x+30) = 3

From our law of logarithm

5³  =  x + 30

(but 5³ = 5 ×5×5=125)

125 = x + 30

Subtract 30 from both-side of the equation to get the value of x

125 - 30 = x + 30 -30

95 = x

x = 95

Therefore the solution is 95

We can check the correctness of our answer

log₅(x+30)

=log₅(95+30)

=log₅125

=log₅5³    ( Note: log₅5=1)

=1×3

=3

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Answer:

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We can use the given information to set up a ratio...

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We can solve this ratio using cross multiplication (multiply the numerator of the first fraction by the denominator of the second and the numerator of the second fraction by the denominator of the first):

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You deposit $200 each month into an account earning 3% interest compounded monthly.
zvonat [6]

The total amount of money accrued ( principal and interest ) in 35 years is $570.78.

<h3>What is the total amount accrued?</h3>

The formula for compound interest is expressed as;

A = P( 1 + r/t )^(n×t)

Given the data in the question;

  • Principal P = $200
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Plug the given values into the equation above.

A = P( 1 + r/n )^(n×t)

A = 200( 1 + 0.03/12 )^(12×35)

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A = 200( 1.0025 )^(420)

A = 200( 2.85390914 )

A = $570.78

Therefore, the total amount of money accrued ( principal and interest ) in 35 years is $570.78.

Learn more about compound interest here: brainly.com/question/27128740

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Write a polynomial function of least degree with integral coefficients that has the
frutty [35]

A polynomial function of least degree with integral coefficients that has the

given zeros  f(x)=x^4+x^3+9x^2+9x

Given

Given zeros are 3i, -1  and 0

complex zeros occurs in pairs. 3i is one of the zero

-3i is the other zero

So zeros are 3i, -3i, 0 and -1

Now we write the zeros in factor form

If 'a' is a zero then (x-a) is a factor

the factor form of given zeros

\:\left(x-3i\right)\left(x-\left(-3i\right)\right)\left(x-0\right)\left(x-\left(-1\right)\right)\\\left(x-3i\right)\left(x+3i\right)\left(x-0\right)\left(x+1\right)

Now we multiply it to get the polynomial

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polynomial function of least degree with integral coefficients that has the

given zeros  f(x)=x^4+x^3+9x^2+9x

Learn more : brainly.com/question/7619478

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