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:
2X^2+5/2X-3/2=0
Step-by-step explanation:
To identify the equation use the following method
(X-a)(X-b)=0
Put values
a=-4
b=3/2
(X+4)(X-3/2)=0
X^2+4X-3/2X-3/2=0
X^2+(8X-3X)/2-3/2=0
X^2+5/2X-3/2=0