SOLUTION: Solve the equation for x, algebraically: 5 + logbase2 (x + 5) = 4

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Question 1131628: Solve the equation for x, algebraically:
5 + logbase2 (x + 5) = 4

Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39620) About Me  (Show Source):
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

5+%2B+log%282+%2C%28x+%2B+5%29%29+=+4
log%282+%2C%28x+%2B+5%29%29+=+4-5
log%282+%2C%28x+%2B+5%29%29+=-1...convert to base 10
log%28%28x+%2B+5%29%29%2Flog%282%29+=-1
log%28%28x+%2B+5%29%29+=-1%2Alog%282%29
log%28%28x+%2B+5%29%29+=log%282%5E-1%29.....if log same then
x+%2B+5+=2%5E-1
x+%2B+5+=1%2F2
x++=1%2F2-5
x++=1%2F2-10%2F2
x++=-9%2F2