log xY = 100 and log2x = 10, then the value of y isQuestion 14Answera.None of theseb.250c.21000d.10000
Question
log xY = 100 and log2x = 10, then the value of y is
Question 14
Answer
a. None of these
b. 250
c. 21000
d. 10000
Solution
To find the value of y, we first need to solve the equations given.
The equations are:
- log x^y = 100
- log2x = 10
Let's solve the second equation first.
log2x = 10 implies that 2x = 10^10 or x = 10^10 / 2 = 5^10
Now, let's substitute x = 5^10 in the first equation.
log (5^10)^y = 100 log 5^(10y) = 100 10y log5 = 100 10y = 100 / log5 y = 10 / log5
So, the value of y is not given in the options. Therefore, the answer is a. None of these.
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