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
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x<2
Step-by-step explanation:
-1>-2(x-4)-5(4x-7)
-1>-2x+8-20x+35
-1>-22x+43
when a negative number crosses to a side, the sign changes
22x<1+43
22x<44
22x/22<44/22
x<2
Answer:
W=7 and L=11
Step-by-step explanation:
We have two unknowns so we must create two equations.
First the problem states that length of a rectangle is 10 yd less than three times the width so: L= 3w-10
Next we are given the area so: L X W = 77
Then solve for the variable algebraically. It is just a system of equations.
3W^2 - 10W - 77 = 0
(3W + 11)(W - 7) = 0
W = -11/3 and/or W=7
Discard the negative solution as the width of the rectangle cannot be less then 0.
So W=7
Plug that into the first equation.
3(7)-10= 11 so L=11
You can multiply 8 times 9 to get 72 and then move the decimal over to the right to get the answer of 7.2
Usually there will be a line through the graph, labeling f(x) = ..... so plug in f(3) and follow the line on the x-axis to look for 3 then find y
