Question

If 4^x+16^x= 36^x then find the value of x? ?

Answer 1

Answer:

X= -1.

Step-by-step explanation:

Answer 2

${2}^{2x} + {2}^{4x} = {2}^{5x}$
${2}^{x} ( {2}^{2} + {2}^{4} ) = {2}^{5x}$
$4 + 16 = {2}^{5x - x}$
$20 = {2}^{4x}$
$4 \times 5 = {4}^{2x} \times {5}^{0}$
$x = \frac{1}{2}$