Respuesta :
Erika is working on solving the exponential equation 50^x = 17; The solution is x = 0.7242.
What is logarithm?
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
[tex]b = \log_a(c)[/tex]
'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
[tex]50^x = 17\\[/tex]
By taking the log both sides
[tex]log_a b = x\\\\a_x = b[/tex]
By using the base formula
[tex]log_0 y = \dfrac{logy}{log b}[/tex]
So, [tex]log_{50} 17= x\\\\[/tex]
[tex]x = \dfrac{log17}{log 50}[/tex]
x = 0.7242
Learn more about logarithm here:
https://brainly.com/question/20835449
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