The change of base formula states that log_a(b) = log_c(b) / log_c(a), where a, b, and c are any positive real numbers and c is not equal to 1.
In this case, we want to find log(2) 43 to the nearest thousandth, which means we need to find log_c(43) / log_c(2), where c can be any base.
Let's use the common base 10.
log(2) 43 = log(43) / log(2)
log(2) 43 ≈ 1.632
Therefore, the value equivalent to log(2) 43 to the nearest thousandth is 1.632.
What value is equivalent to log(2) 43 to the nearest thousandth? Use the change of base formula to determine your answer.(1 point) Responses 1.332 1.332 5.426 5.426 0.817 0.817 0.184
1 answer