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grigory [225]
2 years ago
12

Erika is working on solving the exponential equation 50x = 17; however, she is not quite sure where to start. using complete sen

tences, describe to erika how to solve this equation.
hint: use the change of base formula: log base b of y equals log y over log b.
Mathematics
1 answer:
Kryger [21]2 years ago
3 0

Erika is working on solving the exponential equation 50^x = 17; The solution is x = 0.7242.

<h3>What is logarithm?</h3>

When you raise a number with an exponent, there comes a result.

Let's say you get

a^b = c

Then, you can write 'b' in terms of 'a' and 'c' using a logarithm as follows

b = \log_a(c)

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

Erika is working on solving the exponential equation 50^x = 17;

however, she is not quite sure where to start.

The equation is

50^x = 17\\

By taking the log both sides

log_a b = x\\\\a_x = b

By using the base formula

log_0 y = \dfrac{logy}{log b}

So, log_{50} 17= x\\\\

x = \dfrac{log17}{log 50}

x = 0.7242

Learn more about logarithm here:

brainly.com/question/20835449

#SPJ1

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Subtract 25 from both sides of the equation:

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I need help with this one please
Semmy [17]

Answer:

A

Step-by-step explanation:

a geometric sequence is where we multiply a factor from element to element.

a1 = $900

a2 = 981 = a1 × f = 900 ×

a3 = 1069.29 = a2 × f = a1 × f × f = s1 × f²

an = 900 \times  {f}^{n - 1}

so, now let's try and get f.

remember, 981 = 900 × f

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just to control, we check for s3 :

900 × (1.09)² = 900 × 1.1881 = 1069.29

correct.

so,

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s13 is then the sum of all a1, ..., a13

there is a nice formula for sums of finite sequences

s13 = 900 × (1-f¹³) / (1-f) = 900×(1-(1.09)¹³) / (1-1.09) =

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3 years ago
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