I took your equation to mean: (1/5)^(4x) - 3 = 5
Solve for x over the real numbers:
5^(-4 x) - 3 = 5
Add 3 to both sides:
5^(-4 x) = 8
Take the logarithm base 5 of both sides:
-4 x = (log(8))/(log(5))
Divide both sides by -4:
Answer: |x = -(log(8))/(4 log(5))=-0.3230074185550.....
+33653 If, on the other hand, you meant (1/5)^(4x-3) = 5 then:
5^(3 - 4x) = 5 so
3 - 4x = 1
2 = 4x
x = 1/2
.
+10 tan-1(8.6667)
ans is 1.45592016rad
can u explane without culculator how to do this
