Question

If log10x=a,write 102a-3 value in terms of x

Answer 1

(10²a - 3) = 100x - 3

Step-by-step explanation:

Given that $\log 10^{x} = a$

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

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

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)

Answer 2

100x-3 is the answer when log10x=a