Question

logx1/25 = -1/2 find x​

Answer 1

Answer:

1/5

Step-by-step explanation:

Hello Shyaamal Tripathi, x = 1/5

Solution: logx 25 + logx 1/125 - logx 5 = 2

So logx ( 25 x 1/125 x 1/5) = 2

==> logx 1/25 = 2

==> x 2 = 1/25 = 1/52

So x = 1/5

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Answer 2

Answer:

Let logx to the base 5=a, 5^a=x,alog5=logx

logx to the base 7=b, 7^b=x,blog7=logx

logx to the base 25=c,25^c=x,5^2c=x clog5^2=logx. So a=logx/log5, b=logx/log7 & c=logx/2log5. a+b=logx/log5+logx/log7=logx(1/log5+1/log7)/. As per question a+b=2c, so logx(log10-log5+log10-log7)=logx(2-log35)=logx/2log5, or, logx(2-log35-log25)=0

Or, log x(2-log35/25)=0=log1

Or,logx=log1, or, x=1

Step-by-step explanation:

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