Question

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

Answer 1

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

$b = \log_a(c)$

'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:

https://brainly.com/question/20835449

#SPJ1