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Find the value of log 100/90

Aniket Singh , 10 Months ago
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Askiitians Tutor Team

Last Activity: 10 Months ago

To solve the problem, we need to find the value of:

log(100/90)

We can start by using the properties of logarithms to simplify the expression.

First, rewrite the expression as:
log(100/90) = log(100) - log(90)

Now, calculate log(100) and log(90).
We know that log(100) = 2, because 100 is 10^2. So:

log(100) = 2

Next, we need to find log(90). To do this, we can use the approximation or a calculator. The approximate value of log(90) is:

log(90) ≈ 1.9542

Now substitute these values back into the equation:
log(100/90) = 2 - 1.9542

Simplifying:
log(100/90) ≈ 0.0458

So, the value of log(100/90) is approximately 0.0458.

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