Question

1. which equation is equivalent to log: 125 = 3?

a) x^{100}=5 b) 125^{3}=x
c) x^{3}=125 d) 5^{3}=125
7
scientists measured the lengths of a species of bird in a region. the graph below shows that themeasured lengths have a normal distribution. about what percent of the bird population is between 14and 34 cm long?
a) 78% b) 98%
c) 68% d) 88%

Explanation:

Step1: Recall the logarithm formula

The formula for logarithms is \(\log_{a}b = c\) is equivalent to \(a^{c}=b\). In the given equation \(\log_{5}125 = 3\), \(a = 5\), \(b = 125\), and \(c = 3\).

Step2: Apply the formula

Using the formula \(a^{c}=b\), we substitute \(a = 5\), \(c = 3\), and \(b = 125\) to get \(5^{3}=125\).

Answer:

d) \(5^{3}=125\)