If log₂ (6x + 6) = 5, then x = ___

ddaeeric 2021-05-09 Answered

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

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Expert Answer

Aamina Herring
Answered 2021-05-10 Author has 14393 answers

 

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
Answered 2021-08-11 Author has 11052 answers

Explanation is on video

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