Solve the equation Enter your answers as a commaseparated li
Solve the equation. (Enter your answers as a comma-separated list.)
167x(1/4)3x+2=64(4x)-7
Solution
167x(1/4)3x+2=64(4x)-7
LHS 16^7x(1/4)^(3x+2) = 4^14x(4^(-3x -2)
4^(-3x -2 +14x) = 4^(11x -2)
RHS 64 (4^x)^-7 = 4^3(4^(-7x) )
= 4^(-7x +3)
Now we have : 4^(11x -2) = 4^(-7x +3)
Equating the exponents on both sides:
11x -2 = -7x +3
18x = 5
x= 5/18
