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:
brainly.com/question/20835449
#SPJ1
Step-by-step explanation:
The probability that a farm has 500 or more acres is:
P = 0.076 + 0.047 + 0.035
P = 0.158
Answer:length of wire = 116 ft
Explanation:The attached image shows a diagram on the scenario given.
Now, we can note that the string forms a right-angled triangle with the tower and the ground. This means that special trig functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
Now, from the given, we can find that:
θ = 34°
opposite is the tower = 65 ft
hypotenuse is the string length that we want to find
Substitute with the givens in the sin function to get the length of string as follows:
sin (34) = 65 / string
string = 65 / sin(34)
string = 116.2 which is approximately 116 ft
Hope this helps :)
-5+d/3=5
d/3-5=5
d-3.5/3=5
d-15/3=5
d-15=15
(d-15)+15=15+15
d-15+15=30
d=30
Hope this helps kiddo