Approximate: log5 4/7
-2.8760
-0.3477
0.7124
1.3738

-0.34772

Step-by-step explanation:

One way of doing this problem is to change the base from 5 to 10.

Use the change of base formula:

                 log x

log     x =

     5          log 5

so:

                       log (4/7)        log 4 - log 7

log     (4/7)  = =

     5                   log 5               log 5

Note that "log x" above is the common logarithm of x and is to the base 10.

Continuing, we get:

0.60206 - 0.84510         -0.24304

= = -0.34772       (This corresponds to

        0.69897                    0.69897                              the second given

                                                                                        answer choice.)

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)