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 log2(x) +log2(x)+ log2(x)+ log2(x) +log2(x)+ log2(x) equal to 40
Method 1
5log2(x) equal to 40
log2(x power5) equal to 40
x power5 equal to 2 power 40
OR
method 2
5 log2(x) equal to 40
log2(x) equal to 40/5
x equal to 2 power 8
Which method is correct and which one is wrong and why

Asked by futureisbright051101 21st November 2017, 7:42 PM
Answered by Expert
Answer:
begin mathsize 16px style log subscript 2 straight x plus log subscript 2 straight x plus log subscript 2 straight x plus log subscript 2 straight x plus log subscript 2 straight x equals 40
5 log subscript 2 straight x equals 40
log subscript 2 straight x to the power of 5 equals 40
straight x to the power of 5 equals 2 to the power of 40
straight x to the power of 5 equals 2 to the power of 8 cross times 5 end exponent
straight x to the power of 5 equals open parentheses 2 to the power of 8 close parentheses to the power of 5
straight x equals 2 to the power of 8

Here space your space both space methods space are space correct.
You space just space have space to space simplify space the space term space in space the space first space method
then space both space the space answers space will space be space same.
end style
Answered by Expert 29th November 2017, 11:32 AM
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