Question

19.
1 point
If log100 x = a then 102a-3 =
r?
a)
b)
1000
1000
X
c)
d)
100
100
a)
b)
d)​

Answer 1

Answer:

(10²a - 3) = 100x - 3

Step-by-step explanation:

Given that \log 10^{x} = alog10

x

=a

⇒ x log 10 = a {Since we know the property of logarithm as \log a^{b} = b \log aloga

b

=bloga }

⇒ x = a {Since, we know that \log 10 = \log_{10}10 = 1log10=log

10

10=1 }

Now, we have to find the value of (10²a - 3) in terms of x.

So, (10²a - 3) = 10²x - 3 = 100x - 3 {Since a = x} (Answer)