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

If 8y18y2 What Is The Value Of Y class=

Sagot :

estherokeh07

Answer:

-8

Step-by-step explanation:

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

[tex][Hello,BrainlyUser][/tex]

Answer:

y = -8

Step-by-step explanation:

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

[tex]2^3^y=2^4^(^y^+^2^)[/tex]

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

[tex]3y=4(y+2)[/tex]

Simplify

[tex]4(y+2).[/tex]

Apply the distributive property.

[tex]3y=4y+4*2[/tex]

Multiply 4 by 2

[tex]3y=4y+8[/tex]

Subtract 4y from both sides of the equation.

[tex]3y-4y=8[/tex]

Subtract 4y from 3y.

[tex]-y=8[/tex]

Multiply each term in −y=8 by −1

[tex]y=-8[/tex]

Hence, Answer is y = -8

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