Question

If 8^{y}=18^{y+2} what is the value of y?

Answer 1

Answer:

-8

Step-by-step explanation:

both 8^-8 and 16^-8+2 equal 5.9605

Answer 2

$[Hello,BrainlyUser]$

Answer:

y = -8

Step-by-step explanation:

Create equivalent expressions in the equation that all have equal bases.

$2^3^y=2^4^(^y^+^2^)$

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

$3y=4(y+2)$

Simplify

$4(y+2).$

Apply the distributive property.

$3y=4y+4*2$

Multiply 4 by 2

$3y=4y+8$

Subtract 4y from both sides of the equation.

$3y-4y=8$

Subtract 4y from 3y.

$-y=8$

Multiply each term in −y=8 by −1

$y=-8$

Hence, Answer is y = -8

[CloudBreeze]