Question

Find the solution to the equation 64^(3 – x) = 4^2x Find the solution to the equation 64^(3 – x) = 4^2x @Mathematics

Answer 1

64 = 4^3 thus
\[ 64^{3-x} = 4^{3(3-x)} = 4^{9-3x} \]
Now can solve this?

Answer 2

4^3(3-x)=4^(2x)
9-3x=2x
x=1.8

Answer 3

Now can you solve this? Because now you know the original equation is equivalent to
4^(9-3x) = 4^(2x)

Answer 4

I got x = 9/5

Answer 5

right.

Answer 6

Thank you :)