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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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