Problem 1)
The base of the exponential is 12 which is also the base of the log as well. The only answer choice that has this is choice B.
======================================================================
Problem 2)
log(x) + log(y) - 2log(z)
log(x) + log(y) - log(z^2)
log(x*y) - log(z^2)
log[(x*y)/(z^2)]
Answer is choice D
======================================================================
Problem 3)
log[21/(x^2)]
log(21) - log(x^2)
log(21) - 2*log(x)
This matches with choice B
======================================================================
Problem 4)
Ln(63) = Ln(z) + Ln(7)
Ln(63)-Ln(7) = Ln(z)
Ln(63/7) = Ln(z)
Ln(9) = Ln(z)
z = 9
======================================================================
Problem 5)
Ln(5x-3) = 2
5x-3 = e^2
5x = e^2+3
x = (e^2+3)/5
This means choice A is the answer
Draw out a number line. Plot the values -86, 0 and +45. To go from -86 to 0, you need to travel 86 meters. Then to go from 0 to 45, you need to travel another 45 meters.
In total, you have gone 86+45 = 131 meters (in the up direction)
Answer:
A.
Step-by-step explanation:
the absolute value of -5 = 5.
5+8=13.
Hope this helped.
Step-by-step explanation:
Since AC=BE & DE=DC
then measure angle <CAD=<EBD =X
Then< DAB =90-x
And <ABD= 90-X
then measure angle 1= measure angle 2