log4(x+2)=3
How do I solve this?
After you get the answer, try looking at different rules. This stuff will catch you by suprise, as some college teachers like to bring in out of to test.
A)
log(4(x+2))=3103=4(x+2)4x+8=1000x=1000−84x=248
B)
log(4)⋅(x+2)=3log 4=3x+2x+2=3log 4x=3log 4−2x=2.98289214233
C)
log4(x+2)=343=x+2x=43−2x=62
! Look for a solution.
Solve for x: (log(x + 2))/(log(4)) = 3
Multiply both sides by log(4): log(x + 2) = 3 log(4)
3 log(4) = log(4^3) = log(64): log(x + 2) = log(64)
Cancel logarithms by taking exp of both sides: x + 2 = 64
Subtract 2 from both sides: Answer: | x = 62