A.) 7^4x = 10
log base 10 (7^4X) = log base 10 (10)
4x log base 10 (7) = 1
4x (0.8451) = 1
3.3804x = 1
x = 0.2958
b.) ln(2) + ln(4x-1) = 5
ln (2 * 4x-1) = 5
ln (8x-2) = 5
log base (3) (8x-2) = 5
e^5 = 8x-2
e^5+2 = 8x
x = 18.8016
Answer:
6 less a number y can be represented by the expression 6 - y
M of A = x
m of B = 2x-7
m of C = 2x+2
By the angle sum property of a triangle, we know that all the angles of a triangle add up to 180 degrees.
Thus we can create a linear equation
x + 2x-7 + 2x+2 = 180
4x = 185
x = 185/4
x = 46.25
Thus
m of A = 46.25
m of B = 2(46.25) -7 = 85.5
m of C = 2(46.25) +2 = 90.5
