If log10 2 = 0.3010, then log2 10 is equal to:

The logarithm base change rule states that for any positive numbers a, b, and c (where a ≠ 1), the logarithm base b of a number c can be expressed in terms of logarithms with a different base k (where k ≠ 1) using the formula:

log_b(c) = log_k(c) / log_k(b)

In this case, we want to find log2(10), and we know that log10(2) = 0.3010. We can use the base change rule to express log2(10) in terms of log10:

log2(10) = log10(10) / log10(2)

Since log10(10) = 1 (because 10 to the power of 1 equals 10), we can simplify this to:

log2(10) = 1 / log10(2)

Substituting the given value of log10(2) = 0.3010, we get:

log2(10) = 1 / 0.3010

Finally, calculating the division, we get:

log2(10) ≈ 3.3222

So, log2(10) is approximately equal to 3.3222.