# Given #log(4)=0.6021#, #log(9)=0.9542#, and #log(12)=1.0792#, how do you find #log(0.06)#?

Start by observing that:

Then ask yourself the question; "How do we divide by 200 using base 10 logarithms?"

In base 10, we divide by 100 by subtracting 2.

By signing up, you agree to our Terms of Service and Privacy Policy

You can use logarithmic properties to find log(0.06) by expressing 0.06 as a product of known logarithmic values. Specifically, you can express 0.06 as 6/100, which simplifies to 3/50. Then, you can use the property of logarithms that states log(ab) = log(a) + log(b). Thus, log(3/50) = log(3) - log(50). Next, you need to express 50 as a product of known logarithmic values. Since 50 = 5 × 10, log(50) = log(5) + log(10). Finally, use the given logarithmic values to substitute and solve for log(0.06).

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7