Solve each equation. (5/2)^x = 4/25

Solve each equation. See Examples 4–6. x^2/3 = 4

Solve each equation. x^5/2 = 32

Solve each equation. (1/e)^-x = (1/e²)^x+1

Concept Check. If ƒ(x) = a^x and ƒ(3) = 27, determine each function value. ƒ(2)

Determine if the function is an exponential function.  

If so, identify the power & base, then evaluate for $x=4$.

$f\(\left\)(x\(\right\))=\(\left\)(-2\(\right\))^{x}$

Determine if the function is an exponential function.  

If so, identify the power & base, then evaluate for $x=4$ .

$f\(\left\)(x\(\right\))=3\(\left\)(1.5\(\right\))^{x}$

Determine if the function is an exponential function.  

If so, identify the power & base, then evaluate for $x=4$ .

$f\(\left\)(x\(\right\))=\(\left\)(\(\frac\)12\(\right\))^{x}$