# If log₂ (6x + 6) = 5, then x = ___

If  $$\log_{2} (6x + 6) = 5, \text{then}\ x =?$$

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Aamina Herring

We are given:

$$\log_{2} (6x + 6) = 5$$

Write in exponential form:

$$\log bx=a\geq b^a=x$$

$$2^5=6x+6$$

Solve for $$x: 32=6x+6$$

$$26=6x$$

$$\frac{26}{6}=x$$ or $$x=\frac{13}{3}$$

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content_user

Explanation is on video