Answer:
y = 0 or y = 1/9
Step-by-step explanation:
2^√y=8^y
Make sure they have the same base
That's
8 = 2³
So
8^y = 2^3y
2^√y = 2^3y
Since the bases are now the same we can compare the exponents
We have
√y = 3y
Remove the square root by squaring both sides
That's
(√y)² = (3y)²
y = 9y²
Move 9y² to the left side of the equation
y - 9y² = 0
Factorize
y(1 - 9y)
y = 0
1 = 9y
Divide both sides by 9
y = 1/9
The answer is y = 0 or y = 1/9 since they both satisfy the equation
Hope this helps you
