SOLUTION: Log64 base×= 3 Log64× base×1÷2=3 Log16 base2=4×-1 Log0.25 base16=×

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Question 1136149: Log64 base×= 3
Log64× base×1÷2=3
Log16 base2=4×-1
Log0.25 base16=×
Found 2 solutions by MathLover1, Alan3354:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

log%28x%2C64%29=+3
log%2864%29%2Flog%28x%29=+3
log%2864%29=+3log%28x%29
log%2864%29=+log%28x%5E3%29
=>if log same
64=+x%5E3
4%5E3=+x%5E3...if exponents same, bases are same too
x=4

Log64× base×1÷2=3->I guess base is x%2A%281%2F2%29=x%2F2
log%28%28x%2F2%29%2C%2864%29%29=3
log%2864%29%2Flog%28x%2F2%29=3
log%2864%29=3log%28x%2F2%29
log%2864%29=log%28%28x%2F2%29%5E3%29
64=%28x%2F2%29%5E3
4%5E3=%28x%2F2%29%5E3
4=x%2F2
x=8


log%282%2C16+%29=4x-1
4=4x-1
4%2B1=4x
5=4x
=>x=5%2F4



Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
IDK what those little x's are supposed to mean.
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