log 2 (2x+8)= 5  the 2 is under the log

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log 2 (2x + 8) =5

We know that if log x (y) = z , Then x^z= y

==> (2x+8) = 2^5

==> 2x + 8= 32

Now substract 8

==> 2x= 32-8= 24

Now divide by 2:

==> x= 12

To check:

log 2 (2(12)+8) = 5

log 2 ( 32) =5

log 2 (2^5) = 5

5 log2 (2) =5

5 (1) = 5

5=5

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