Answer:
The question is incomplete, the complete question is "Changing Bases to Evaluate Logarithms in Exercise, use the change-of-base formula and a calculator to evaluate the logarithm. See Example 9.
.

Step-by-step explanation:
From the general properties or laws of logarithm, we have the

where both log are now express in the natural logarithm base.
i.e 
hence we can express our
.
the value of ln7 is 1.9459 and ln4 is 1.3863
Hence
.

Answer:
y = -1/2x +1/2
Step-by-step explanation:
Point B is 4 up and 2 over from point A. So, the midpoint will be 4/2 = 2 up and 2/2 = 1 over, at (1, 0).
The ratio of rise to run between A and B is ...
m = rise/run = 4/2 = 2
The perpendicular line will have a slope that is the opposite reciprocal of this, -1/2.
Then the point-slope equation for the perpendicular bisector is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y -0 = -1/2(x -1) . . . .line with slope -1/2 through point (1, 0)
y = -1/2x +1/2 . . . . simplified to slope-intercept form
Answer:
d. 12 cm
Step-by-step explanation:
Corresponding sides have the given ratio:
EG/AC = 3/2 = EG/8 . . . . . . . fill in for AC
EG = 8(3/2) = 12 . . . cm . . . . . . . multiply by 8