1. What are the x and y-intercepts of the equation?
y=log(7x+3)−2
Round the answers to the nearest hundredth.
x-intercept =
y-intercept =
2. What is the exact value of x?
5⋅215x=16
These are the options:
x=log3.25log21
x=log215log3.2
x=5log3.2log21
x=5log21log3.2
3.
What is the exponential form of the logarithmic equation?
5=log0.90.59049
I really appreciate the help, thanks so much!
+9466 Here is another post with two of the same questions on it:
http://web2.0calc.com/questions/what-is-the-exact-value-of-x-urgent-help
1. y = log(7x + 3) - 2
To find the x-intercept, plug in 0 for y and solve for x .
0 = log(7x + 3) - 2 Add 2 to both sides of the equation.
2 = log(7x + 3) Exponentiate both sides with a base of 10 .
102 = 10log(7x + 3)
100 = 7x + 3 Subtract 3 from both sides.
97 = 7x Divide both sides by 7 .
97/7 = x
the x-intercept = 97/7 ≈ 13.86
To find the y-intercept, plug in 0 for x and solve for y .
y = log(7(0) + 3) - 2 Simplify.
y = log(3) - 2 Plug this into a calculator to get...
y ≈ -1.52
the y-intercept ≈ -1.52
+9466 2. I am guessing that your equation is this...
5⋅215x = 16
Divide both sides of the equation by 5 .
215x = 3.2
Take the log of both sides.
log( 215x ) = log( 3.2 )
Now we can bring the x out like this...
x log 215 = log 3.2
Divide both sides by log 215 .
x = log 3.2 / log 215 Your answer options look a bit mixed up...
