So log(2) = 0.3010
how do you find 2 if you know log of something is .3010?
0.3010 is the log of 2 to base 10,
because 10^0.3010 = 2
I don't know what you mean by "how do you find 2".
that's what i needed to know. thanks!
To find the value of 2 if you know that the logarithm of something is 0.3010, you need to use the inverse operation of logarithm, which is exponentiation.
In this case, since you are given log(2) = 0.3010, you need to determine the value that 2 is raised to in order to get 0.3010. This can be written as:
2^x = 0.3010
To solve for x, you need to take the exponentiation (or raise 2 to the power of x) on both sides of the equation. This gives you:
2^x = 0.3010
=> x = log base 2 (0.3010)
Now, you need to find the logarithm of 0.3010 with base 2. Using a calculator that supports logarithmic functions with different bases, you can enter log base 2 of 0.3010 to find the value of x.
Alternatively, you can use the change of base formula to convert the logarithm to a known base, such as base 10 or base e (natural logarithm). The formula for changing the base of a logarithm is:
log base a (b) = log base c (b) / log base c (a)
So in this case, you can use the formula to convert the logarithm with base 2 to base 10:
x = log base 2 (0.3010) = log base 10 (0.3010) / log base 10 (2)
Again, using a calculator that supports logarithmic functions, you can find the logarithm of 0.3010 with base 10 and the logarithm of 2 with base 10, and then divide the former by the latter to find the value of x.