If log₂ (6x + 6) = 5, then x =

If $$\log_2 (6x + 6) = 5$$, then x = ___

• Questions are typically answered in as fast as 30 minutes

Plainmath recommends

• Get a detailed answer even on the hardest topics.
• Ask an expert for a step-by-step guidance to learn to do it yourself.

Nichole Watt

We are given: $$\log_2 (6x + 6) = 5$$

Write in exponential form: $$\log bx=a \to b^a=x$$

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

Solve for x: 32=6x+6

26=6x

$$\frac{26}{6}=x$$

or

$$x=\frac{13}{3}$$