Three friends fill bags with trash at a neighborhood cleanup. Randall's bag weighs
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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
'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
By taking the log both sides
By using the base formula
So,
x = 0.7242
Learn more about logarithm here:
#SPJ1
First, let's deal with the fraction in the denominator of the exponent. Multiply the top and bottom of the exponent by 6.
Now that the fraction in the denominator is taken care of, we can reduce the denominator.
. Some professors might accept this as simplest form, but others might ask you to get rid of the negative.