Question

Solve for x
2/5(2)^x = 32/5

Answer 1

Combine = 2 x 2^x/5 =32/5
Rearrange = 2^ 1+x /5 =32/5
Multiply = 5 x 2^x+1/5 = 5 x 32/5
Cancel multiplied terms in denominator= 2^ x+1=32
X +1=5
Subtract 1 from both sides
X+1-1= 5-1
New term= x=5-1=4

X=4