To find the approximate value of log23, you can use the change of base formula with logarithms. By applying the base 10 logarithm and dividing the logarithms of 3 and 2, we can find that log23 is approximately 1.585.
To find the approximate value of the logarithm log23, you can use the change of base formula.
The change of base formula states that logab = logcb / logca, where a, b, and c are positive real numbers and c is not equal to 1 or a.
In this case, we want to find log23, so we can use the base 10 logarithm or the natural logarithm.
Let's use the base 10 logarithm.
log23 = log103 / log102
Using a calculator, we can find that log103 is approximately 0.4771 and log102 is approximately 0.3010.
Dividing these values, we get:
log23 ≈ 0.4771 / 0.3010 ≈ 1.585
Question:
How do you find the approximate value of this question?
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