SOLUTION: write 1+log(base 2) X^3 as a single logarithm. *i dont understand how to do the qustion without changing it into an equation, which would be incorrect. Ex. 1+log(base 2) X^3

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Question 556295: write 1+log(base 2) X^3 as a single logarithm.

*i dont understand how to do the qustion without changing it into an equation, which would be incorrect. Ex. 1+log(base 2) X^3
log(base 2)X^3 = 1 (wrong!)
how would i do it ??

Found 2 solutions by scott8148, josmiceli:
Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
1 = log2(2)

adding logs means multiplying quantities

log2(2) + log2(x^3) = log2(2x^3)

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!

The key is to express in terms of a log

Make this substitution

---------------------
Now use rule
answer
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I'll check this by setting ( or any number )



and


OK

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