Answer:
x = 8
Explanation:
Taking the antilog, you have ...
3x +8 = 2^5 = 32
3x = 24 . . . . subtract 8
x = 8 . . . . . . .divide by 3
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You can have a graphing calculator show you the answer. Subtracting 5 from both sides gives ...
log2(3x +8) -5 = 0
The calculator can plot the left-side function and show you the value of x that makes it zero. That value is x=8.